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Finding the Third Proportional to 317,092 and 464,262

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Solution

The third proportional to 317,092 and 464,262 is: 679,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,092 : 464,262 = 464,262 : x
  2. Step 2: Convert to fraction form
    317,092/464,262 = 464,262/x
  3. Step 3: Cross multiply
    317,092x = 464,262 × 464,262
  4. Step 4: Simplify right side
    317,092x = 215,539,204,644
  5. Step 5: Solve for x
    x = 215,539,204,644/317,092
  6. Step 6: Final answer
    x = 679,737.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.