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Finding the Third Proportional to 453.80 and 698.41

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Solution

The third proportional to 453.80 and 698.41 is: 1,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 698.41 = 698.41 : x
  2. Step 2: Convert to fraction form
    453.80/698.41 = 698.41/x
  3. Step 3: Cross multiply
    453.80x = 698.41 × 698.41
  4. Step 4: Simplify right side
    453.80x = 487,782.20
  5. Step 5: Solve for x
    x = 487,782.20/453.80
  6. Step 6: Final answer
    x = 1,074.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.