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Finding the Third Proportional to 563.24 and 1,236.16

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Solution

The third proportional to 563.24 and 1,236.16 is: 2,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 1,236.16 = 1,236.16 : x
  2. Step 2: Convert to fraction form
    563.24/1,236.16 = 1,236.16/x
  3. Step 3: Cross multiply
    563.24x = 1,236.16 × 1,236.16
  4. Step 4: Simplify right side
    563.24x = 1,528,101.59
  5. Step 5: Solve for x
    x = 1,528,101.59/563.24
  6. Step 6: Final answer
    x = 2,713.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.