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Finding the Third Proportional to 474,438 and 733,820

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Solution

The third proportional to 474,438 and 733,820 is: 1,135,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,438 : 733,820 = 733,820 : x
  2. Step 2: Convert to fraction form
    474,438/733,820 = 733,820/x
  3. Step 3: Cross multiply
    474,438x = 733,820 × 733,820
  4. Step 4: Simplify right side
    474,438x = 538,491,792,400
  5. Step 5: Solve for x
    x = 538,491,792,400/474,438
  6. Step 6: Final answer
    x = 1,135,009.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.