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Finding the Third Proportional to 451.62 and 675.53

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Solution

The third proportional to 451.62 and 675.53 is: 1,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 675.53 = 675.53 : x
  2. Step 2: Convert to fraction form
    451.62/675.53 = 675.53/x
  3. Step 3: Cross multiply
    451.62x = 675.53 × 675.53
  4. Step 4: Simplify right side
    451.62x = 456,337.19
  5. Step 5: Solve for x
    x = 456,337.19/451.62
  6. Step 6: Final answer
    x = 1,010.45

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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.