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Finding the Third Proportional to 691.56 and 1,037.44

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Solution

The third proportional to 691.56 and 1,037.44 is: 1,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 1,037.44 = 1,037.44 : x
  2. Step 2: Convert to fraction form
    691.56/1,037.44 = 1,037.44/x
  3. Step 3: Cross multiply
    691.56x = 1,037.44 × 1,037.44
  4. Step 4: Simplify right side
    691.56x = 1,076,276.57
  5. Step 5: Solve for x
    x = 1,076,276.57/691.56
  6. Step 6: Final answer
    x = 1,556.30

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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.