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Finding the Third Proportional to 724,005 and 952,065

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Solution

The third proportional to 724,005 and 952,065 is: 1,251,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,005 : 952,065 = 952,065 : x
  2. Step 2: Convert to fraction form
    724,005/952,065 = 952,065/x
  3. Step 3: Cross multiply
    724,005x = 952,065 × 952,065
  4. Step 4: Simplify right side
    724,005x = 906,427,764,225
  5. Step 5: Solve for x
    x = 906,427,764,225/724,005
  6. Step 6: Final answer
    x = 1,251,963.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.