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Finding the Third Proportional to 805.89 and 1,244.43

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Solution

The third proportional to 805.89 and 1,244.43 is: 1,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.89 : 1,244.43 = 1,244.43 : x
  2. Step 2: Convert to fraction form
    805.89/1,244.43 = 1,244.43/x
  3. Step 3: Cross multiply
    805.89x = 1,244.43 × 1,244.43
  4. Step 4: Simplify right side
    805.89x = 1,548,595.53
  5. Step 5: Solve for x
    x = 1,548,595.53/805.89
  6. Step 6: Final answer
    x = 1,921.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.