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Finding the Third Proportional to 217,730 and 482,116

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Solution

The third proportional to 217,730 and 482,116 is: 1,067,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,730 : 482,116 = 482,116 : x
  2. Step 2: Convert to fraction form
    217,730/482,116 = 482,116/x
  3. Step 3: Cross multiply
    217,730x = 482,116 × 482,116
  4. Step 4: Simplify right side
    217,730x = 232,435,837,456
  5. Step 5: Solve for x
    x = 232,435,837,456/217,730
  6. Step 6: Final answer
    x = 1,067,541.62

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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.