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Finding the Third Proportional to 311,952.09 and 638,680.78

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Solution

The third proportional to 311,952.09 and 638,680.78 is: 1,307,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.09 : 638,680.78 = 638,680.78 : x
  2. Step 2: Convert to fraction form
    311,952.09/638,680.78 = 638,680.78/x
  3. Step 3: Cross multiply
    311,952.09x = 638,680.78 × 638,680.78
  4. Step 4: Simplify right side
    311,952.09x = 407,913,140,338.11
  5. Step 5: Solve for x
    x = 407,913,140,338.11/311,952.09
  6. Step 6: Final answer
    x = 1,307,614.69

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.