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Finding the Third Proportional to 402,704 and 564,504

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Solution

The third proportional to 402,704 and 564,504 is: 791,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,704 : 564,504 = 564,504 : x
  2. Step 2: Convert to fraction form
    402,704/564,504 = 564,504/x
  3. Step 3: Cross multiply
    402,704x = 564,504 × 564,504
  4. Step 4: Simplify right side
    402,704x = 318,664,766,016
  5. Step 5: Solve for x
    x = 318,664,766,016/402,704
  6. Step 6: Final answer
    x = 791,312.64

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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.