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Finding the Third Proportional to 453.94 and 610.03

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Solution

The third proportional to 453.94 and 610.03 is: 819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 610.03 = 610.03 : x
  2. Step 2: Convert to fraction form
    453.94/610.03 = 610.03/x
  3. Step 3: Cross multiply
    453.94x = 610.03 × 610.03
  4. Step 4: Simplify right side
    453.94x = 372,138.13
  5. Step 5: Solve for x
    x = 372,138.13/453.94
  6. Step 6: Final answer
    x = 819.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.