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Finding the Third Proportional to 441,553.50 and 699,536.25

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Solution

The third proportional to 441,553.50 and 699,536.25 is: 1,108,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,553.50 : 699,536.25 = 699,536.25 : x
  2. Step 2: Convert to fraction form
    441,553.50/699,536.25 = 699,536.25/x
  3. Step 3: Cross multiply
    441,553.50x = 699,536.25 × 699,536.25
  4. Step 4: Simplify right side
    441,553.50x = 489,350,965,064.06
  5. Step 5: Solve for x
    x = 489,350,965,064.06/441,553.50
  6. Step 6: Final answer
    x = 1,108,248.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.