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Finding the Third Proportional to 307,904 and 474,496

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Solution

The third proportional to 307,904 and 474,496 is: 731,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,904 : 474,496 = 474,496 : x
  2. Step 2: Convert to fraction form
    307,904/474,496 = 474,496/x
  3. Step 3: Cross multiply
    307,904x = 474,496 × 474,496
  4. Step 4: Simplify right side
    307,904x = 225,146,454,016
  5. Step 5: Solve for x
    x = 225,146,454,016/307,904
  6. Step 6: Final answer
    x = 731,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.