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Finding the Third Proportional to 513,230,715 and 741,529,912.50

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Solution

The third proportional to 513,230,715 and 741,529,912.50 is: 1,071,382,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,230,715 : 741,529,912.50 = 741,529,912.50 : x
  2. Step 2: Convert to fraction form
    513,230,715/741,529,912.50 = 741,529,912.50/x
  3. Step 3: Cross multiply
    513,230,715x = 741,529,912.50 × 741,529,912.50
  4. Step 4: Simplify right side
    513,230,715x = 549,866,611,132,257,664
  5. Step 5: Solve for x
    x = 549,866,611,132,257,664/513,230,715
  6. Step 6: Final answer
    x = 1,071,382,898.69

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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.