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Finding the Third Proportional to 700.31 and 1,523.44

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Solution

The third proportional to 700.31 and 1,523.44 is: 3,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.31 : 1,523.44 = 1,523.44 : x
  2. Step 2: Convert to fraction form
    700.31/1,523.44 = 1,523.44/x
  3. Step 3: Cross multiply
    700.31x = 1,523.44 × 1,523.44
  4. Step 4: Simplify right side
    700.31x = 2,320,861.82
  5. Step 5: Solve for x
    x = 2,320,861.82/700.31
  6. Step 6: Final answer
    x = 3,314.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.