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Finding the Third Proportional to 701,831.25 and 1,002,876.75

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Solution

The third proportional to 701,831.25 and 1,002,876.75 is: 1,433,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,831.25 : 1,002,876.75 = 1,002,876.75 : x
  2. Step 2: Convert to fraction form
    701,831.25/1,002,876.75 = 1,002,876.75/x
  3. Step 3: Cross multiply
    701,831.25x = 1,002,876.75 × 1,002,876.75
  4. Step 4: Simplify right side
    701,831.25x = 1,005,761,775,690.56
  5. Step 5: Solve for x
    x = 1,005,761,775,690.56/701,831.25
  6. Step 6: Final answer
    x = 1,433,053.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.