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Finding the Third Proportional to 317,534 and 451,353

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Solution

The third proportional to 317,534 and 451,353 is: 641,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,534 : 451,353 = 451,353 : x
  2. Step 2: Convert to fraction form
    317,534/451,353 = 451,353/x
  3. Step 3: Cross multiply
    317,534x = 451,353 × 451,353
  4. Step 4: Simplify right side
    317,534x = 203,719,530,609
  5. Step 5: Solve for x
    x = 203,719,530,609/317,534
  6. Step 6: Final answer
    x = 641,567.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.