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Finding the Third Proportional to 475,186.50 and 741,939.75

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Solution

The third proportional to 475,186.50 and 741,939.75 is: 1,158,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,186.50 : 741,939.75 = 741,939.75 : x
  2. Step 2: Convert to fraction form
    475,186.50/741,939.75 = 741,939.75/x
  3. Step 3: Cross multiply
    475,186.50x = 741,939.75 × 741,939.75
  4. Step 4: Simplify right side
    475,186.50x = 550,474,592,630.06
  5. Step 5: Solve for x
    x = 550,474,592,630.06/475,186.50
  6. Step 6: Final answer
    x = 1,158,439.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.