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Finding the Third Proportional to 563.25 and 1,221.63

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Solution

The third proportional to 563.25 and 1,221.63 is: 2,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 1,221.63 = 1,221.63 : x
  2. Step 2: Convert to fraction form
    563.25/1,221.63 = 1,221.63/x
  3. Step 3: Cross multiply
    563.25x = 1,221.63 × 1,221.63
  4. Step 4: Simplify right side
    563.25x = 1,492,367.64
  5. Step 5: Solve for x
    x = 1,492,367.64/563.25
  6. Step 6: Final answer
    x = 2,649.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.