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Finding the Third Proportional to 723,963 and 952,024.50

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Solution

The third proportional to 723,963 and 952,024.50 is: 1,251,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,963 : 952,024.50 = 952,024.50 : x
  2. Step 2: Convert to fraction form
    723,963/952,024.50 = 952,024.50/x
  3. Step 3: Cross multiply
    723,963x = 952,024.50 × 952,024.50
  4. Step 4: Simplify right side
    723,963x = 906,350,648,600.25
  5. Step 5: Solve for x
    x = 906,350,648,600.25/723,963
  6. Step 6: Final answer
    x = 1,251,929.52

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.