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Finding the Third Proportional to 225,687 and 495,654

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Solution

The third proportional to 225,687 and 495,654 is: 1,088,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,687 : 495,654 = 495,654 : x
  2. Step 2: Convert to fraction form
    225,687/495,654 = 495,654/x
  3. Step 3: Cross multiply
    225,687x = 495,654 × 495,654
  4. Step 4: Simplify right side
    225,687x = 245,672,887,716
  5. Step 5: Solve for x
    x = 245,672,887,716/225,687
  6. Step 6: Final answer
    x = 1,088,555.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.