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Finding the Third Proportional to 513,230,760.50 and 741,529,980.75

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Solution

The third proportional to 513,230,760.50 and 741,529,980.75 is: 1,071,383,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,230,760.50 : 741,529,980.75 = 741,529,980.75 : x
  2. Step 2: Convert to fraction form
    513,230,760.50/741,529,980.75 = 741,529,980.75/x
  3. Step 3: Cross multiply
    513,230,760.50x = 741,529,980.75 × 741,529,980.75
  4. Step 4: Simplify right side
    513,230,760.50x = 549,866,712,351,095,360
  5. Step 5: Solve for x
    x = 549,866,712,351,095,360/513,230,760.50
  6. Step 6: Final answer
    x = 1,071,383,000.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.