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Finding the Third Proportional to 309,661.31 and 680,216.91

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Solution

The third proportional to 309,661.31 and 680,216.91 is: 1,494,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,661.31 : 680,216.91 = 680,216.91 : x
  2. Step 2: Convert to fraction form
    309,661.31/680,216.91 = 680,216.91/x
  3. Step 3: Cross multiply
    309,661.31x = 680,216.91 × 680,216.91
  4. Step 4: Simplify right side
    309,661.31x = 462,695,039,548.32
  5. Step 5: Solve for x
    x = 462,695,039,548.32/309,661.31
  6. Step 6: Final answer
    x = 1,494,197.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.