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Finding the Third Proportional to 317,712 and 491,496

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Solution

The third proportional to 317,712 and 491,496 is: 760,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,712 : 491,496 = 491,496 : x
  2. Step 2: Convert to fraction form
    317,712/491,496 = 491,496/x
  3. Step 3: Cross multiply
    317,712x = 491,496 × 491,496
  4. Step 4: Simplify right side
    317,712x = 241,568,318,016
  5. Step 5: Solve for x
    x = 241,568,318,016/317,712
  6. Step 6: Final answer
    x = 760,337.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.