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Finding the Third Proportional to 807,728.50 and 1,267,199

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Solution

The third proportional to 807,728.50 and 1,267,199 is: 1,988,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,728.50 : 1,267,199 = 1,267,199 : x
  2. Step 2: Convert to fraction form
    807,728.50/1,267,199 = 1,267,199/x
  3. Step 3: Cross multiply
    807,728.50x = 1,267,199 × 1,267,199
  4. Step 4: Simplify right side
    807,728.50x = 1,605,793,305,601
  5. Step 5: Solve for x
    x = 1,605,793,305,601/807,728.50
  6. Step 6: Final answer
    x = 1,988,035.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.