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Finding the Third Proportional to 402,685 and 564,434

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Solution

The third proportional to 402,685 and 564,434 is: 791,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,685 : 564,434 = 564,434 : x
  2. Step 2: Convert to fraction form
    402,685/564,434 = 564,434/x
  3. Step 3: Cross multiply
    402,685x = 564,434 × 564,434
  4. Step 4: Simplify right side
    402,685x = 318,585,740,356
  5. Step 5: Solve for x
    x = 318,585,740,356/402,685
  6. Step 6: Final answer
    x = 791,153.73

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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.