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Finding the Third Proportional to 867,145.50 and 944,480.25

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Solution

The third proportional to 867,145.50 and 944,480.25 is: 1,028,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,145.50 : 944,480.25 = 944,480.25 : x
  2. Step 2: Convert to fraction form
    867,145.50/944,480.25 = 944,480.25/x
  3. Step 3: Cross multiply
    867,145.50x = 944,480.25 × 944,480.25
  4. Step 4: Simplify right side
    867,145.50x = 892,042,942,640.06
  5. Step 5: Solve for x
    x = 892,042,942,640.06/867,145.50
  6. Step 6: Final answer
    x = 1,028,711.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.