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Finding the Third Proportional to 305,621.44 and 663,751.13

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Solution

The third proportional to 305,621.44 and 663,751.13 is: 1,441,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,621.44 : 663,751.13 = 663,751.13 : x
  2. Step 2: Convert to fraction form
    305,621.44/663,751.13 = 663,751.13/x
  3. Step 3: Cross multiply
    305,621.44x = 663,751.13 × 663,751.13
  4. Step 4: Simplify right side
    305,621.44x = 440,565,555,938.77
  5. Step 5: Solve for x
    x = 440,565,555,938.77/305,621.44
  6. Step 6: Final answer
    x = 1,441,540.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.