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Finding the Third Proportional to 412,171.50 and 896,924

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Solution

The third proportional to 412,171.50 and 896,924 is: 1,951,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,171.50 : 896,924 = 896,924 : x
  2. Step 2: Convert to fraction form
    412,171.50/896,924 = 896,924/x
  3. Step 3: Cross multiply
    412,171.50x = 896,924 × 896,924
  4. Step 4: Simplify right side
    412,171.50x = 804,472,661,776
  5. Step 5: Solve for x
    x = 804,472,661,776/412,171.50
  6. Step 6: Final answer
    x = 1,951,791.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.