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Finding the Third Proportional to 304,956 and 474,042

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Solution

The third proportional to 304,956 and 474,042 is: 736,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,956 : 474,042 = 474,042 : x
  2. Step 2: Convert to fraction form
    304,956/474,042 = 474,042/x
  3. Step 3: Cross multiply
    304,956x = 474,042 × 474,042
  4. Step 4: Simplify right side
    304,956x = 224,715,817,764
  5. Step 5: Solve for x
    x = 224,715,817,764/304,956
  6. Step 6: Final answer
    x = 736,879.48

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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.