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Finding the Third Proportional to 274,228 and 611,472

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Solution

The third proportional to 274,228 and 611,472 is: 1,363,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,228 : 611,472 = 611,472 : x
  2. Step 2: Convert to fraction form
    274,228/611,472 = 611,472/x
  3. Step 3: Cross multiply
    274,228x = 611,472 × 611,472
  4. Step 4: Simplify right side
    274,228x = 373,898,006,784
  5. Step 5: Solve for x
    x = 373,898,006,784/274,228
  6. Step 6: Final answer
    x = 1,363,456.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.