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Finding the Third Proportional to 304,414 and 484,812

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Solution

The third proportional to 304,414 and 484,812 is: 772,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,414 : 484,812 = 484,812 : x
  2. Step 2: Convert to fraction form
    304,414/484,812 = 484,812/x
  3. Step 3: Cross multiply
    304,414x = 484,812 × 484,812
  4. Step 4: Simplify right side
    304,414x = 235,042,675,344
  5. Step 5: Solve for x
    x = 235,042,675,344/304,414
  6. Step 6: Final answer
    x = 772,115.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.