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Finding the Third Proportional to 847.55 and 1,233.14

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Solution

The third proportional to 847.55 and 1,233.14 is: 1,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.55 : 1,233.14 = 1,233.14 : x
  2. Step 2: Convert to fraction form
    847.55/1,233.14 = 1,233.14/x
  3. Step 3: Cross multiply
    847.55x = 1,233.14 × 1,233.14
  4. Step 4: Simplify right side
    847.55x = 1,520,635.80
  5. Step 5: Solve for x
    x = 1,520,635.80/847.55
  6. Step 6: Final answer
    x = 1,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.