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Finding the Third Proportional to 647,238.75 and 970,858.13

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Solution

The third proportional to 647,238.75 and 970,858.13 is: 1,456,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,238.75 : 970,858.13 = 970,858.13 : x
  2. Step 2: Convert to fraction form
    647,238.75/970,858.13 = 970,858.13/x
  3. Step 3: Cross multiply
    647,238.75x = 970,858.13 × 970,858.13
  4. Step 4: Simplify right side
    647,238.75x = 942,565,498,878.52
  5. Step 5: Solve for x
    x = 942,565,498,878.52/647,238.75
  6. Step 6: Final answer
    x = 1,456,287.19

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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.