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Finding the Third Proportional to 596.90 and 1,315.30

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Solution

The third proportional to 596.90 and 1,315.30 is: 2,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 1,315.30 = 1,315.30 : x
  2. Step 2: Convert to fraction form
    596.90/1,315.30 = 1,315.30/x
  3. Step 3: Cross multiply
    596.90x = 1,315.30 × 1,315.30
  4. Step 4: Simplify right side
    596.90x = 1,730,016.15
  5. Step 5: Solve for x
    x = 1,730,016.15/596.90
  6. Step 6: Final answer
    x = 2,898.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.