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Finding the Third Proportional to 217,478 and 317,825

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Solution

The third proportional to 217,478 and 317,825 is: 464,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,478 : 317,825 = 317,825 : x
  2. Step 2: Convert to fraction form
    217,478/317,825 = 317,825/x
  3. Step 3: Cross multiply
    217,478x = 317,825 × 317,825
  4. Step 4: Simplify right side
    217,478x = 101,012,730,625
  5. Step 5: Solve for x
    x = 101,012,730,625/217,478
  6. Step 6: Final answer
    x = 464,473.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.