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Finding the Third Proportional to 304,347 and 474,945

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Solution

The third proportional to 304,347 and 474,945 is: 741,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,347 : 474,945 = 474,945 : x
  2. Step 2: Convert to fraction form
    304,347/474,945 = 474,945/x
  3. Step 3: Cross multiply
    304,347x = 474,945 × 474,945
  4. Step 4: Simplify right side
    304,347x = 225,572,753,025
  5. Step 5: Solve for x
    x = 225,572,753,025/304,347
  6. Step 6: Final answer
    x = 741,169.63

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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.