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Finding the Third Proportional to 287,618 and 627,150

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Solution

The third proportional to 287,618 and 627,150 is: 1,367,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,618 : 627,150 = 627,150 : x
  2. Step 2: Convert to fraction form
    287,618/627,150 = 627,150/x
  3. Step 3: Cross multiply
    287,618x = 627,150 × 627,150
  4. Step 4: Simplify right side
    287,618x = 393,317,122,500
  5. Step 5: Solve for x
    x = 393,317,122,500/287,618
  6. Step 6: Final answer
    x = 1,367,498.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.