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Finding the Third Proportional to 949.88 and 1,290.56

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Solution

The third proportional to 949.88 and 1,290.56 is: 1,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,290.56 = 1,290.56 : x
  2. Step 2: Convert to fraction form
    949.88/1,290.56 = 1,290.56/x
  3. Step 3: Cross multiply
    949.88x = 1,290.56 × 1,290.56
  4. Step 4: Simplify right side
    949.88x = 1,665,551.57
  5. Step 5: Solve for x
    x = 1,665,551.57/949.88
  6. Step 6: Final answer
    x = 1,753.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.