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Finding the Third Proportional to 725.75 and 1,037.44

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Solution

The third proportional to 725.75 and 1,037.44 is: 1,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.75 : 1,037.44 = 1,037.44 : x
  2. Step 2: Convert to fraction form
    725.75/1,037.44 = 1,037.44/x
  3. Step 3: Cross multiply
    725.75x = 1,037.44 × 1,037.44
  4. Step 4: Simplify right side
    725.75x = 1,076,276.57
  5. Step 5: Solve for x
    x = 1,076,276.57/725.75
  6. Step 6: Final answer
    x = 1,482.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.