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Finding the Third Proportional to 296,257.50 and 627,810.75

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Solution

The third proportional to 296,257.50 and 627,810.75 is: 1,330,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,257.50 : 627,810.75 = 627,810.75 : x
  2. Step 2: Convert to fraction form
    296,257.50/627,810.75 = 627,810.75/x
  3. Step 3: Cross multiply
    296,257.50x = 627,810.75 × 627,810.75
  4. Step 4: Simplify right side
    296,257.50x = 394,146,337,815.56
  5. Step 5: Solve for x
    x = 394,146,337,815.56/296,257.50
  6. Step 6: Final answer
    x = 1,330,418.09

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