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Finding the Third Proportional to 610.88 and 1,310.34

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Solution

The third proportional to 610.88 and 1,310.34 is: 2,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 1,310.34 = 1,310.34 : x
  2. Step 2: Convert to fraction form
    610.88/1,310.34 = 1,310.34/x
  3. Step 3: Cross multiply
    610.88x = 1,310.34 × 1,310.34
  4. Step 4: Simplify right side
    610.88x = 1,717,000.74
  5. Step 5: Solve for x
    x = 1,717,000.74/610.88
  6. Step 6: Final answer
    x = 2,810.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.