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Finding the Third Proportional to 564.56 and 1,235.44

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Solution

The third proportional to 564.56 and 1,235.44 is: 2,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 1,235.44 = 1,235.44 : x
  2. Step 2: Convert to fraction form
    564.56/1,235.44 = 1,235.44/x
  3. Step 3: Cross multiply
    564.56x = 1,235.44 × 1,235.44
  4. Step 4: Simplify right side
    564.56x = 1,526,305.82
  5. Step 5: Solve for x
    x = 1,526,305.82/564.56
  6. Step 6: Final answer
    x = 2,703.52

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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.