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Finding the Third Proportional to 934.56 and 1,310.44

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Solution

The third proportional to 934.56 and 1,310.44 is: 1,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.56 : 1,310.44 = 1,310.44 : x
  2. Step 2: Convert to fraction form
    934.56/1,310.44 = 1,310.44/x
  3. Step 3: Cross multiply
    934.56x = 1,310.44 × 1,310.44
  4. Step 4: Simplify right side
    934.56x = 1,717,246.44
  5. Step 5: Solve for x
    x = 1,717,246.44/934.56
  6. Step 6: Final answer
    x = 1,837.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.