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Finding the Third Proportional to 453.73 and 681.54

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Solution

The third proportional to 453.73 and 681.54 is: 1,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.73 : 681.54 = 681.54 : x
  2. Step 2: Convert to fraction form
    453.73/681.54 = 681.54/x
  3. Step 3: Cross multiply
    453.73x = 681.54 × 681.54
  4. Step 4: Simplify right side
    453.73x = 464,495.49
  5. Step 5: Solve for x
    x = 464,495.49/453.73
  6. Step 6: Final answer
    x = 1,023.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.