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Finding the Third Proportional to 402,696 and 564,372

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Solution

The third proportional to 402,696 and 564,372 is: 790,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,696 : 564,372 = 564,372 : x
  2. Step 2: Convert to fraction form
    402,696/564,372 = 564,372/x
  3. Step 3: Cross multiply
    402,696x = 564,372 × 564,372
  4. Step 4: Simplify right side
    402,696x = 318,515,754,384
  5. Step 5: Solve for x
    x = 318,515,754,384/402,696
  6. Step 6: Final answer
    x = 790,958.33

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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.