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Finding the Third Proportional to 216,205.45 and 465,625.97

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Solution

The third proportional to 216,205.45 and 465,625.97 is: 1,002,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,205.45 : 465,625.97 = 465,625.97 : x
  2. Step 2: Convert to fraction form
    216,205.45/465,625.97 = 465,625.97/x
  3. Step 3: Cross multiply
    216,205.45x = 465,625.97 × 465,625.97
  4. Step 4: Simplify right side
    216,205.45x = 216,807,542,774.38
  5. Step 5: Solve for x
    x = 216,807,542,774.38/216,205.45
  6. Step 6: Final answer
    x = 1,002,784.80

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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.