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Finding the Third Proportional to 311,023.13 and 677,359.13

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Solution

The third proportional to 311,023.13 and 677,359.13 is: 1,475,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,023.13 : 677,359.13 = 677,359.13 : x
  2. Step 2: Convert to fraction form
    311,023.13/677,359.13 = 677,359.13/x
  3. Step 3: Cross multiply
    311,023.13x = 677,359.13 × 677,359.13
  4. Step 4: Simplify right side
    311,023.13x = 458,815,384,220.77
  5. Step 5: Solve for x
    x = 458,815,384,220.77/311,023.13
  6. Step 6: Final answer
    x = 1,475,180.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.