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Finding the Third Proportional to 353,599.88 and 763,211.25

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Solution

The third proportional to 353,599.88 and 763,211.25 is: 1,647,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,599.88 : 763,211.25 = 763,211.25 : x
  2. Step 2: Convert to fraction form
    353,599.88/763,211.25 = 763,211.25/x
  3. Step 3: Cross multiply
    353,599.88x = 763,211.25 × 763,211.25
  4. Step 4: Simplify right side
    353,599.88x = 582,491,412,126.56
  5. Step 5: Solve for x
    x = 582,491,412,126.56/353,599.88
  6. Step 6: Final answer
    x = 1,647,317.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.