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Finding the Third Proportional to 304,791 and 474,638

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Solution

The third proportional to 304,791 and 474,638 is: 739,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,791 : 474,638 = 474,638 : x
  2. Step 2: Convert to fraction form
    304,791/474,638 = 474,638/x
  3. Step 3: Cross multiply
    304,791x = 474,638 × 474,638
  4. Step 4: Simplify right side
    304,791x = 225,281,231,044
  5. Step 5: Solve for x
    x = 225,281,231,044/304,791
  6. Step 6: Final answer
    x = 739,133.48

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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.