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Finding the Third Proportional to 221,466 and 472,460

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Solution

The third proportional to 221,466 and 472,460 is: 1,007,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,466 : 472,460 = 472,460 : x
  2. Step 2: Convert to fraction form
    221,466/472,460 = 472,460/x
  3. Step 3: Cross multiply
    221,466x = 472,460 × 472,460
  4. Step 4: Simplify right side
    221,466x = 223,218,451,600
  5. Step 5: Solve for x
    x = 223,218,451,600/221,466
  6. Step 6: Final answer
    x = 1,007,912.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.