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Finding the Third Proportional to 298,215.75 and 640,926.75

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Solution

The third proportional to 298,215.75 and 640,926.75 is: 1,377,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,215.75 : 640,926.75 = 640,926.75 : x
  2. Step 2: Convert to fraction form
    298,215.75/640,926.75 = 640,926.75/x
  3. Step 3: Cross multiply
    298,215.75x = 640,926.75 × 640,926.75
  4. Step 4: Simplify right side
    298,215.75x = 410,787,098,865.56
  5. Step 5: Solve for x
    x = 410,787,098,865.56/298,215.75
  6. Step 6: Final answer
    x = 1,377,482.91

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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.