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Finding the Third Proportional to 268,514 and 627,125

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Solution

The third proportional to 268,514 and 627,125 is: 1,464,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,514 : 627,125 = 627,125 : x
  2. Step 2: Convert to fraction form
    268,514/627,125 = 627,125/x
  3. Step 3: Cross multiply
    268,514x = 627,125 × 627,125
  4. Step 4: Simplify right side
    268,514x = 393,285,765,625
  5. Step 5: Solve for x
    x = 393,285,765,625/268,514
  6. Step 6: Final answer
    x = 1,464,675.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.