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Finding the Third Proportional to 715,220.25 and 1,002,378.75

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Solution

The third proportional to 715,220.25 and 1,002,378.75 is: 1,404,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,220.25 : 1,002,378.75 = 1,002,378.75 : x
  2. Step 2: Convert to fraction form
    715,220.25/1,002,378.75 = 1,002,378.75/x
  3. Step 3: Cross multiply
    715,220.25x = 1,002,378.75 × 1,002,378.75
  4. Step 4: Simplify right side
    715,220.25x = 1,004,763,158,451.56
  5. Step 5: Solve for x
    x = 1,004,763,158,451.56/715,220.25
  6. Step 6: Final answer
    x = 1,404,830.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.