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Finding the Third Proportional to 317,741 and 491,540

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Solution

The third proportional to 317,741 and 491,540 is: 760,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,741 : 491,540 = 491,540 : x
  2. Step 2: Convert to fraction form
    317,741/491,540 = 491,540/x
  3. Step 3: Cross multiply
    317,741x = 491,540 × 491,540
  4. Step 4: Simplify right side
    317,741x = 241,611,571,600
  5. Step 5: Solve for x
    x = 241,611,571,600/317,741
  6. Step 6: Final answer
    x = 760,404.14

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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.