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Finding the Third Proportional to 404,502.75 and 898,794.75

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Solution

The third proportional to 404,502.75 and 898,794.75 is: 1,997,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,502.75 : 898,794.75 = 898,794.75 : x
  2. Step 2: Convert to fraction form
    404,502.75/898,794.75 = 898,794.75/x
  3. Step 3: Cross multiply
    404,502.75x = 898,794.75 × 898,794.75
  4. Step 4: Simplify right side
    404,502.75x = 807,832,002,627.56
  5. Step 5: Solve for x
    x = 807,832,002,627.56/404,502.75
  6. Step 6: Final answer
    x = 1,997,098.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.