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Finding the Third Proportional to 793.55 and 1,740.89

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Solution

The third proportional to 793.55 and 1,740.89 is: 3,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.55 : 1,740.89 = 1,740.89 : x
  2. Step 2: Convert to fraction form
    793.55/1,740.89 = 1,740.89/x
  3. Step 3: Cross multiply
    793.55x = 1,740.89 × 1,740.89
  4. Step 4: Simplify right side
    793.55x = 3,030,700.17
  5. Step 5: Solve for x
    x = 3,030,700.17/793.55
  6. Step 6: Final answer
    x = 3,819.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.