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Finding the Third Proportional to 399,112.50 and 631,866

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Solution

The third proportional to 399,112.50 and 631,866 is: 1,000,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,112.50 : 631,866 = 631,866 : x
  2. Step 2: Convert to fraction form
    399,112.50/631,866 = 631,866/x
  3. Step 3: Cross multiply
    399,112.50x = 631,866 × 631,866
  4. Step 4: Simplify right side
    399,112.50x = 399,254,641,956
  5. Step 5: Solve for x
    x = 399,254,641,956/399,112.50
  6. Step 6: Final answer
    x = 1,000,356.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.