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Finding the Third Proportional to 304,240 and 627,872

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Solution

The third proportional to 304,240 and 627,872 is: 1,295,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,240 : 627,872 = 627,872 : x
  2. Step 2: Convert to fraction form
    304,240/627,872 = 627,872/x
  3. Step 3: Cross multiply
    304,240x = 627,872 × 627,872
  4. Step 4: Simplify right side
    304,240x = 394,223,248,384
  5. Step 5: Solve for x
    x = 394,223,248,384/304,240
  6. Step 6: Final answer
    x = 1,295,764.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.