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Finding the Third Proportional to 317,206.13 and 491,725.69

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Solution

The third proportional to 317,206.13 and 491,725.69 is: 762,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,206.13 : 491,725.69 = 491,725.69 : x
  2. Step 2: Convert to fraction form
    317,206.13/491,725.69 = 491,725.69/x
  3. Step 3: Cross multiply
    317,206.13x = 491,725.69 × 491,725.69
  4. Step 4: Simplify right side
    317,206.13x = 241,794,151,747.35
  5. Step 5: Solve for x
    x = 241,794,151,747.35/317,206.13
  6. Step 6: Final answer
    x = 762,261.93

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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.