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Finding the Third Proportional to 361,599.19 and 777,616.31

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Solution

The third proportional to 361,599.19 and 777,616.31 is: 1,672,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,599.19 : 777,616.31 = 777,616.31 : x
  2. Step 2: Convert to fraction form
    361,599.19/777,616.31 = 777,616.31/x
  3. Step 3: Cross multiply
    361,599.19x = 777,616.31 × 777,616.31
  4. Step 4: Simplify right side
    361,599.19x = 604,687,129,466.10
  5. Step 5: Solve for x
    x = 604,687,129,466.10/361,599.19
  6. Step 6: Final answer
    x = 1,672,257.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.