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Finding the Third Proportional to 562.88 and 1,296.94

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Solution

The third proportional to 562.88 and 1,296.94 is: 2,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.88 : 1,296.94 = 1,296.94 : x
  2. Step 2: Convert to fraction form
    562.88/1,296.94 = 1,296.94/x
  3. Step 3: Cross multiply
    562.88x = 1,296.94 × 1,296.94
  4. Step 4: Simplify right side
    562.88x = 1,682,046.88
  5. Step 5: Solve for x
    x = 1,682,046.88/562.88
  6. Step 6: Final answer
    x = 2,988.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.