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Finding the Third Proportional to 217,734 and 482,124

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Solution

The third proportional to 217,734 and 482,124 is: 1,067,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,734 : 482,124 = 482,124 : x
  2. Step 2: Convert to fraction form
    217,734/482,124 = 482,124/x
  3. Step 3: Cross multiply
    217,734x = 482,124 × 482,124
  4. Step 4: Simplify right side
    217,734x = 232,443,551,376
  5. Step 5: Solve for x
    x = 232,443,551,376/217,734
  6. Step 6: Final answer
    x = 1,067,557.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.