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Finding the Third Proportional to 949.78 and 1,394.16

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Solution

The third proportional to 949.78 and 1,394.16 is: 2,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.78 : 1,394.16 = 1,394.16 : x
  2. Step 2: Convert to fraction form
    949.78/1,394.16 = 1,394.16/x
  3. Step 3: Cross multiply
    949.78x = 1,394.16 × 1,394.16
  4. Step 4: Simplify right side
    949.78x = 1,943,671.65
  5. Step 5: Solve for x
    x = 1,943,671.65/949.78
  6. Step 6: Final answer
    x = 2,046.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.