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Finding the Third Proportional to 304,659 and 474,342

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Solution

The third proportional to 304,659 and 474,342 is: 738,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,659 : 474,342 = 474,342 : x
  2. Step 2: Convert to fraction form
    304,659/474,342 = 474,342/x
  3. Step 3: Cross multiply
    304,659x = 474,342 × 474,342
  4. Step 4: Simplify right side
    304,659x = 225,000,332,964
  5. Step 5: Solve for x
    x = 225,000,332,964/304,659
  6. Step 6: Final answer
    x = 738,531.71

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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.