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Finding the Third Proportional to 647,245.75 and 970,868.75

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Solution

The third proportional to 647,245.75 and 970,868.75 is: 1,456,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,245.75 : 970,868.75 = 970,868.75 : x
  2. Step 2: Convert to fraction form
    647,245.75/970,868.75 = 970,868.75/x
  3. Step 3: Cross multiply
    647,245.75x = 970,868.75 × 970,868.75
  4. Step 4: Simplify right side
    647,245.75x = 942,586,129,726.56
  5. Step 5: Solve for x
    x = 942,586,129,726.56/647,245.75
  6. Step 6: Final answer
    x = 1,456,303.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.