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Finding the Third Proportional to 562.13 and 1,216.50

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Solution

The third proportional to 562.13 and 1,216.50 is: 2,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 1,216.50 = 1,216.50 : x
  2. Step 2: Convert to fraction form
    562.13/1,216.50 = 1,216.50/x
  3. Step 3: Cross multiply
    562.13x = 1,216.50 × 1,216.50
  4. Step 4: Simplify right side
    562.13x = 1,479,872.25
  5. Step 5: Solve for x
    x = 1,479,872.25/562.13
  6. Step 6: Final answer
    x = 2,632.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.