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Finding the Third Proportional to 304,791.75 and 474,636.38

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Solution

The third proportional to 304,791.75 and 474,636.38 is: 739,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,791.75 : 474,636.38 = 474,636.38 : x
  2. Step 2: Convert to fraction form
    304,791.75/474,636.38 = 474,636.38/x
  3. Step 3: Cross multiply
    304,791.75x = 474,636.38 × 474,636.38
  4. Step 4: Simplify right side
    304,791.75x = 225,279,688,473.14
  5. Step 5: Solve for x
    x = 225,279,688,473.14/304,791.75
  6. Step 6: Final answer
    x = 739,126.60

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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.