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Finding the Third Proportional to 317,532 and 451,350

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Solution

The third proportional to 317,532 and 451,350 is: 641,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,532 : 451,350 = 451,350 : x
  2. Step 2: Convert to fraction form
    317,532/451,350 = 451,350/x
  3. Step 3: Cross multiply
    317,532x = 451,350 × 451,350
  4. Step 4: Simplify right side
    317,532x = 203,716,822,500
  5. Step 5: Solve for x
    x = 203,716,822,500/317,532
  6. Step 6: Final answer
    x = 641,563.13

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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.