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Finding the Third Proportional to 239,851 and 527,996

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Solution

The third proportional to 239,851 and 527,996 is: 1,162,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,851 : 527,996 = 527,996 : x
  2. Step 2: Convert to fraction form
    239,851/527,996 = 527,996/x
  3. Step 3: Cross multiply
    239,851x = 527,996 × 527,996
  4. Step 4: Simplify right side
    239,851x = 278,779,776,016
  5. Step 5: Solve for x
    x = 278,779,776,016/239,851
  6. Step 6: Final answer
    x = 1,162,304.00

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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.