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Finding the Third Proportional to 287,614.50 and 627,139.50

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Solution

The third proportional to 287,614.50 and 627,139.50 is: 1,367,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,614.50 : 627,139.50 = 627,139.50 : x
  2. Step 2: Convert to fraction form
    287,614.50/627,139.50 = 627,139.50/x
  3. Step 3: Cross multiply
    287,614.50x = 627,139.50 × 627,139.50
  4. Step 4: Simplify right side
    287,614.50x = 393,303,952,460.25
  5. Step 5: Solve for x
    x = 393,303,952,460.25/287,614.50
  6. Step 6: Final answer
    x = 1,367,469.14

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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.