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Finding the Third Proportional to 724,023 and 952,092

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Solution

The third proportional to 724,023 and 952,092 is: 1,252,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,023 : 952,092 = 952,092 : x
  2. Step 2: Convert to fraction form
    724,023/952,092 = 952,092/x
  3. Step 3: Cross multiply
    724,023x = 952,092 × 952,092
  4. Step 4: Simplify right side
    724,023x = 906,479,176,464
  5. Step 5: Solve for x
    x = 906,479,176,464/724,023
  6. Step 6: Final answer
    x = 1,252,003.29

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Why These Related Problems?

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