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Finding the Third Proportional to 317,584 and 491,532

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Solution

The third proportional to 317,584 and 491,532 is: 760,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,584 : 491,532 = 491,532 : x
  2. Step 2: Convert to fraction form
    317,584/491,532 = 491,532/x
  3. Step 3: Cross multiply
    317,584x = 491,532 × 491,532
  4. Step 4: Simplify right side
    317,584x = 241,603,707,024
  5. Step 5: Solve for x
    x = 241,603,707,024/317,584
  6. Step 6: Final answer
    x = 760,755.29

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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.