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

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Solution

The third proportional to 221,472 and 472,472 is: 1,007,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,472 : 472,472 = 472,472 : x
  2. Step 2: Convert to fraction form
    221,472/472,472 = 472,472/x
  3. Step 3: Cross multiply
    221,472x = 472,472 × 472,472
  4. Step 4: Simplify right side
    221,472x = 223,229,790,784
  5. Step 5: Solve for x
    x = 223,229,790,784/221,472
  6. Step 6: Final answer
    x = 1,007,936.85

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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.