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Finding the Third Proportional to 311,833.13 and 673,521.75

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Solution

The third proportional to 311,833.13 and 673,521.75 is: 1,454,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,833.13 : 673,521.75 = 673,521.75 : x
  2. Step 2: Convert to fraction form
    311,833.13/673,521.75 = 673,521.75/x
  3. Step 3: Cross multiply
    311,833.13x = 673,521.75 × 673,521.75
  4. Step 4: Simplify right side
    311,833.13x = 453,631,547,723.06
  5. Step 5: Solve for x
    x = 453,631,547,723.06/311,833.13
  6. Step 6: Final answer
    x = 1,454,725.34

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