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Finding the Third Proportional to 227,961 and 527,731.88

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Solution

The third proportional to 227,961 and 527,731.88 is: 1,221,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,961 : 527,731.88 = 527,731.88 : x
  2. Step 2: Convert to fraction form
    227,961/527,731.88 = 527,731.88/x
  3. Step 3: Cross multiply
    227,961x = 527,731.88 × 527,731.88
  4. Step 4: Simplify right side
    227,961x = 278,500,931,891.02
  5. Step 5: Solve for x
    x = 278,500,931,891.02/227,961
  6. Step 6: Final answer
    x = 1,221,704.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.