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Finding the Third Proportional to 216,363 and 472,092

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Solution

The third proportional to 216,363 and 472,092 is: 1,030,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,363 : 472,092 = 472,092 : x
  2. Step 2: Convert to fraction form
    216,363/472,092 = 472,092/x
  3. Step 3: Cross multiply
    216,363x = 472,092 × 472,092
  4. Step 4: Simplify right side
    216,363x = 222,870,856,464
  5. Step 5: Solve for x
    x = 222,870,856,464/216,363
  6. Step 6: Final answer
    x = 1,030,078.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.