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Finding the Third Proportional to 402,744 and 564,442

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Solution

The third proportional to 402,744 and 564,442 is: 791,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,744 : 564,442 = 564,442 : x
  2. Step 2: Convert to fraction form
    402,744/564,442 = 564,442/x
  3. Step 3: Cross multiply
    402,744x = 564,442 × 564,442
  4. Step 4: Simplify right side
    402,744x = 318,594,771,364
  5. Step 5: Solve for x
    x = 318,594,771,364/402,744
  6. Step 6: Final answer
    x = 791,060.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.