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Finding the Third Proportional to 638,473 and 952,172.50

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Solution

The third proportional to 638,473 and 952,172.50 is: 1,420,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,473 : 952,172.50 = 952,172.50 : x
  2. Step 2: Convert to fraction form
    638,473/952,172.50 = 952,172.50/x
  3. Step 3: Cross multiply
    638,473x = 952,172.50 × 952,172.50
  4. Step 4: Simplify right side
    638,473x = 906,632,469,756.25
  5. Step 5: Solve for x
    x = 906,632,469,756.25/638,473
  6. Step 6: Final answer
    x = 1,420,001.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.