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Finding the Third Proportional to 820.69 and 1,200.66

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Solution

The third proportional to 820.69 and 1,200.66 is: 1,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.69 : 1,200.66 = 1,200.66 : x
  2. Step 2: Convert to fraction form
    820.69/1,200.66 = 1,200.66/x
  3. Step 3: Cross multiply
    820.69x = 1,200.66 × 1,200.66
  4. Step 4: Simplify right side
    820.69x = 1,441,575.43
  5. Step 5: Solve for x
    x = 1,441,575.43/820.69
  6. Step 6: Final answer
    x = 1,756.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.