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Finding the Third Proportional to 281,115.75 and 447,092.25

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Solution

The third proportional to 281,115.75 and 447,092.25 is: 711,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,115.75 : 447,092.25 = 447,092.25 : x
  2. Step 2: Convert to fraction form
    281,115.75/447,092.25 = 447,092.25/x
  3. Step 3: Cross multiply
    281,115.75x = 447,092.25 × 447,092.25
  4. Step 4: Simplify right side
    281,115.75x = 199,891,480,010.06
  5. Step 5: Solve for x
    x = 199,891,480,010.06/281,115.75
  6. Step 6: Final answer
    x = 711,064.68

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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.