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Finding the Third Proportional to 227,946 and 527,654

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Solution

The third proportional to 227,946 and 527,654 is: 1,221,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,946 : 527,654 = 527,654 : x
  2. Step 2: Convert to fraction form
    227,946/527,654 = 527,654/x
  3. Step 3: Cross multiply
    227,946x = 527,654 × 527,654
  4. Step 4: Simplify right side
    227,946x = 278,418,743,716
  5. Step 5: Solve for x
    x = 278,418,743,716/227,946
  6. Step 6: Final answer
    x = 1,221,424.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.