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Finding the Third Proportional to 296,250.75 and 627,797.25

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Solution

The third proportional to 296,250.75 and 627,797.25 is: 1,330,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,250.75 : 627,797.25 = 627,797.25 : x
  2. Step 2: Convert to fraction form
    296,250.75/627,797.25 = 627,797.25/x
  3. Step 3: Cross multiply
    296,250.75x = 627,797.25 × 627,797.25
  4. Step 4: Simplify right side
    296,250.75x = 394,129,387,107.56
  5. Step 5: Solve for x
    x = 394,129,387,107.56/296,250.75
  6. Step 6: Final answer
    x = 1,330,391.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.