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Finding the Third Proportional to 281,115.56 and 447,103.13

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Solution

The third proportional to 281,115.56 and 447,103.13 is: 711,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,115.56 : 447,103.13 = 447,103.13 : x
  2. Step 2: Convert to fraction form
    281,115.56/447,103.13 = 447,103.13/x
  3. Step 3: Cross multiply
    281,115.56x = 447,103.13 × 447,103.13
  4. Step 4: Simplify right side
    281,115.56x = 199,901,204,384.77
  5. Step 5: Solve for x
    x = 199,901,204,384.77/281,115.56
  6. Step 6: Final answer
    x = 711,099.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.