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Finding the Third Proportional to 475.74 and 1,037.97

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Solution

The third proportional to 475.74 and 1,037.97 is: 2,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 1,037.97 = 1,037.97 : x
  2. Step 2: Convert to fraction form
    475.74/1,037.97 = 1,037.97/x
  3. Step 3: Cross multiply
    475.74x = 1,037.97 × 1,037.97
  4. Step 4: Simplify right side
    475.74x = 1,077,383.18
  5. Step 5: Solve for x
    x = 1,077,383.18/475.74
  6. Step 6: Final answer
    x = 2,264.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.