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Finding the Third Proportional to 415,727.06 and 895,500.75

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Solution

The third proportional to 415,727.06 and 895,500.75 is: 1,928,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,727.06 : 895,500.75 = 895,500.75 : x
  2. Step 2: Convert to fraction form
    415,727.06/895,500.75 = 895,500.75/x
  3. Step 3: Cross multiply
    415,727.06x = 895,500.75 × 895,500.75
  4. Step 4: Simplify right side
    415,727.06x = 801,921,593,250.56
  5. Step 5: Solve for x
    x = 801,921,593,250.56/415,727.06
  6. Step 6: Final answer
    x = 1,928,961.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.