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Finding the Third Proportional to 317,540 and 451,362

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Solution

The third proportional to 317,540 and 451,362 is: 641,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,540 : 451,362 = 451,362 : x
  2. Step 2: Convert to fraction form
    317,540/451,362 = 451,362/x
  3. Step 3: Cross multiply
    317,540x = 451,362 × 451,362
  4. Step 4: Simplify right side
    317,540x = 203,727,655,044
  5. Step 5: Solve for x
    x = 203,727,655,044/317,540
  6. Step 6: Final answer
    x = 641,581.08

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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.