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Finding the Third Proportional to 700,733.25 and 970,710.75

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Solution

The third proportional to 700,733.25 and 970,710.75 is: 1,344,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,733.25 : 970,710.75 = 970,710.75 : x
  2. Step 2: Convert to fraction form
    700,733.25/970,710.75 = 970,710.75/x
  3. Step 3: Cross multiply
    700,733.25x = 970,710.75 × 970,710.75
  4. Step 4: Simplify right side
    700,733.25x = 942,279,360,165.56
  5. Step 5: Solve for x
    x = 942,279,360,165.56/700,733.25
  6. Step 6: Final answer
    x = 1,344,704.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.