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Finding the Third Proportional to 453.44 and 701.69

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Solution

The third proportional to 453.44 and 701.69 is: 1,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 701.69 = 701.69 : x
  2. Step 2: Convert to fraction form
    453.44/701.69 = 701.69/x
  3. Step 3: Cross multiply
    453.44x = 701.69 × 701.69
  4. Step 4: Simplify right side
    453.44x = 492,365.35
  5. Step 5: Solve for x
    x = 492,365.35/453.44
  6. Step 6: Final answer
    x = 1,085.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.