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Finding the Third Proportional to 474,448 and 733,844

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Solution

The third proportional to 474,448 and 733,844 is: 1,135,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,448 : 733,844 = 733,844 : x
  2. Step 2: Convert to fraction form
    474,448/733,844 = 733,844/x
  3. Step 3: Cross multiply
    474,448x = 733,844 × 733,844
  4. Step 4: Simplify right side
    474,448x = 538,527,016,336
  5. Step 5: Solve for x
    x = 538,527,016,336/474,448
  6. Step 6: Final answer
    x = 1,135,060.15

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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.