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Finding the Third Proportional to 287,631 and 627,169.50

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Solution

The third proportional to 287,631 and 627,169.50 is: 1,367,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,631 : 627,169.50 = 627,169.50 : x
  2. Step 2: Convert to fraction form
    287,631/627,169.50 = 627,169.50/x
  3. Step 3: Cross multiply
    287,631x = 627,169.50 × 627,169.50
  4. Step 4: Simplify right side
    287,631x = 393,341,581,730.25
  5. Step 5: Solve for x
    x = 393,341,581,730.25/287,631
  6. Step 6: Final answer
    x = 1,367,521.52

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