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Finding the Third Proportional to 288,002 and 627,652

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Solution

The third proportional to 288,002 and 627,652 is: 1,367,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002 : 627,652 = 627,652 : x
  2. Step 2: Convert to fraction form
    288,002/627,652 = 627,652/x
  3. Step 3: Cross multiply
    288,002x = 627,652 × 627,652
  4. Step 4: Simplify right side
    288,002x = 393,947,033,104
  5. Step 5: Solve for x
    x = 393,947,033,104/288,002
  6. Step 6: Final answer
    x = 1,367,862.14

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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.