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Finding the Third Proportional to 758,197.50 and 1,633,899

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Solution

The third proportional to 758,197.50 and 1,633,899 is: 3,521,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,197.50 : 1,633,899 = 1,633,899 : x
  2. Step 2: Convert to fraction form
    758,197.50/1,633,899 = 1,633,899/x
  3. Step 3: Cross multiply
    758,197.50x = 1,633,899 × 1,633,899
  4. Step 4: Simplify right side
    758,197.50x = 2,669,625,942,201
  5. Step 5: Solve for x
    x = 2,669,625,942,201/758,197.50
  6. Step 6: Final answer
    x = 3,521,016.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.