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Finding the Third Proportional to 304,716.38 and 656,259.75

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Solution

The third proportional to 304,716.38 and 656,259.75 is: 1,413,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,716.38 : 656,259.75 = 656,259.75 : x
  2. Step 2: Convert to fraction form
    304,716.38/656,259.75 = 656,259.75/x
  3. Step 3: Cross multiply
    304,716.38x = 656,259.75 × 656,259.75
  4. Step 4: Simplify right side
    304,716.38x = 430,676,859,470.06
  5. Step 5: Solve for x
    x = 430,676,859,470.06/304,716.38
  6. Step 6: Final answer
    x = 1,413,369.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.