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Finding the Third Proportional to 703.27 and 1,023.05

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Solution

The third proportional to 703.27 and 1,023.05 is: 1,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.27 : 1,023.05 = 1,023.05 : x
  2. Step 2: Convert to fraction form
    703.27/1,023.05 = 1,023.05/x
  3. Step 3: Cross multiply
    703.27x = 1,023.05 × 1,023.05
  4. Step 4: Simplify right side
    703.27x = 1,046,624.91
  5. Step 5: Solve for x
    x = 1,046,624.91/703.27
  6. Step 6: Final answer
    x = 1,488.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.