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Finding the Third Proportional to 281,115.56 and 614,658.38

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Solution

The third proportional to 281,115.56 and 614,658.38 is: 1,343,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,115.56 : 614,658.38 = 614,658.38 : x
  2. Step 2: Convert to fraction form
    281,115.56/614,658.38 = 614,658.38/x
  3. Step 3: Cross multiply
    281,115.56x = 614,658.38 × 614,658.38
  4. Step 4: Simplify right side
    281,115.56x = 377,804,917,957.64
  5. Step 5: Solve for x
    x = 377,804,917,957.64/281,115.56
  6. Step 6: Final answer
    x = 1,343,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.