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Finding the Third Proportional to 474,231 and 723,165

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Solution

The third proportional to 474,231 and 723,165 is: 1,102,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,231 : 723,165 = 723,165 : x
  2. Step 2: Convert to fraction form
    474,231/723,165 = 723,165/x
  3. Step 3: Cross multiply
    474,231x = 723,165 × 723,165
  4. Step 4: Simplify right side
    474,231x = 522,967,617,225
  5. Step 5: Solve for x
    x = 522,967,617,225/474,231
  6. Step 6: Final answer
    x = 1,102,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.