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Finding the Third Proportional to 267,716 and 392,637

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Solution

The third proportional to 267,716 and 392,637 is: 575,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,716 : 392,637 = 392,637 : x
  2. Step 2: Convert to fraction form
    267,716/392,637 = 392,637/x
  3. Step 3: Cross multiply
    267,716x = 392,637 × 392,637
  4. Step 4: Simplify right side
    267,716x = 154,163,813,769
  5. Step 5: Solve for x
    x = 154,163,813,769/267,716
  6. Step 6: Final answer
    x = 575,848.34

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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.