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Finding the Third Proportional to 304,256 and 627,904

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Solution

The third proportional to 304,256 and 627,904 is: 1,295,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,256 : 627,904 = 627,904 : x
  2. Step 2: Convert to fraction form
    304,256/627,904 = 627,904/x
  3. Step 3: Cross multiply
    304,256x = 627,904 × 627,904
  4. Step 4: Simplify right side
    304,256x = 394,263,433,216
  5. Step 5: Solve for x
    x = 394,263,433,216/304,256
  6. Step 6: Final answer
    x = 1,295,827.96

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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.