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Finding the Third Proportional to 844.80 and 1,264.60

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Solution

The third proportional to 844.80 and 1,264.60 is: 1,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,264.60 = 1,264.60 : x
  2. Step 2: Convert to fraction form
    844.80/1,264.60 = 1,264.60/x
  3. Step 3: Cross multiply
    844.80x = 1,264.60 × 1,264.60
  4. Step 4: Simplify right side
    844.80x = 1,599,204.76
  5. Step 5: Solve for x
    x = 1,599,204.76/844.80
  6. Step 6: Final answer
    x = 1,892.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.