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Finding the Third Proportional to 267,734 and 392,657

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Solution

The third proportional to 267,734 and 392,657 is: 575,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,734 : 392,657 = 392,657 : x
  2. Step 2: Convert to fraction form
    267,734/392,657 = 392,657/x
  3. Step 3: Cross multiply
    267,734x = 392,657 × 392,657
  4. Step 4: Simplify right side
    267,734x = 154,179,519,649
  5. Step 5: Solve for x
    x = 154,179,519,649/267,734
  6. Step 6: Final answer
    x = 575,868.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.