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Finding the Third Proportional to 317,301.75 and 491,531.25

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Solution

The third proportional to 317,301.75 and 491,531.25 is: 761,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,301.75 : 491,531.25 = 491,531.25 : x
  2. Step 2: Convert to fraction form
    317,301.75/491,531.25 = 491,531.25/x
  3. Step 3: Cross multiply
    317,301.75x = 491,531.25 × 491,531.25
  4. Step 4: Simplify right side
    317,301.75x = 241,602,969,726.56
  5. Step 5: Solve for x
    x = 241,602,969,726.56/317,301.75
  6. Step 6: Final answer
    x = 761,429.68

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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.