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Finding the Third Proportional to 400,284.25 and 871,640.50

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Solution

The third proportional to 400,284.25 and 871,640.50 is: 1,898,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,284.25 : 871,640.50 = 871,640.50 : x
  2. Step 2: Convert to fraction form
    400,284.25/871,640.50 = 871,640.50/x
  3. Step 3: Cross multiply
    400,284.25x = 871,640.50 × 871,640.50
  4. Step 4: Simplify right side
    400,284.25x = 759,757,161,240.25
  5. Step 5: Solve for x
    x = 759,757,161,240.25/400,284.25
  6. Step 6: Final answer
    x = 1,898,044.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.