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Finding the Third Proportional to 563.63 and 1,211.91

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Solution

The third proportional to 563.63 and 1,211.91 is: 2,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 1,211.91 = 1,211.91 : x
  2. Step 2: Convert to fraction form
    563.63/1,211.91 = 1,211.91/x
  3. Step 3: Cross multiply
    563.63x = 1,211.91 × 1,211.91
  4. Step 4: Simplify right side
    563.63x = 1,468,716.76
  5. Step 5: Solve for x
    x = 1,468,716.76/563.63
  6. Step 6: Final answer
    x = 2,605.84

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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.