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Finding the Third Proportional to 513,230,764.50 and 741,529,986.75

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Solution

The third proportional to 513,230,764.50 and 741,529,986.75 is: 1,071,383,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,230,764.50 : 741,529,986.75 = 741,529,986.75 : x
  2. Step 2: Convert to fraction form
    513,230,764.50/741,529,986.75 = 741,529,986.75/x
  3. Step 3: Cross multiply
    513,230,764.50x = 741,529,986.75 × 741,529,986.75
  4. Step 4: Simplify right side
    513,230,764.50x = 549,866,721,249,455,168
  5. Step 5: Solve for x
    x = 549,866,721,249,455,168/513,230,764.50
  6. Step 6: Final answer
    x = 1,071,383,009.91

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