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Finding the Third Proportional to 729,824.50 and 1,162,192

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Solution

The third proportional to 729,824.50 and 1,162,192 is: 1,850,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,824.50 : 1,162,192 = 1,162,192 : x
  2. Step 2: Convert to fraction form
    729,824.50/1,162,192 = 1,162,192/x
  3. Step 3: Cross multiply
    729,824.50x = 1,162,192 × 1,162,192
  4. Step 4: Simplify right side
    729,824.50x = 1,350,690,244,864
  5. Step 5: Solve for x
    x = 1,350,690,244,864/729,824.50
  6. Step 6: Final answer
    x = 1,850,705.54

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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.