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Finding the Third Proportional to 450.81 and 704.69

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Solution

The third proportional to 450.81 and 704.69 is: 1,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 704.69 = 704.69 : x
  2. Step 2: Convert to fraction form
    450.81/704.69 = 704.69/x
  3. Step 3: Cross multiply
    450.81x = 704.69 × 704.69
  4. Step 4: Simplify right side
    450.81x = 496,587.23
  5. Step 5: Solve for x
    x = 496,587.23/450.81
  6. Step 6: Final answer
    x = 1,101.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.