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Finding the Third Proportional to 530.73 and 1,163.98

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Solution

The third proportional to 530.73 and 1,163.98 is: 2,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.73 : 1,163.98 = 1,163.98 : x
  2. Step 2: Convert to fraction form
    530.73/1,163.98 = 1,163.98/x
  3. Step 3: Cross multiply
    530.73x = 1,163.98 × 1,163.98
  4. Step 4: Simplify right side
    530.73x = 1,354,848.26
  5. Step 5: Solve for x
    x = 1,354,848.26/530.73
  6. Step 6: Final answer
    x = 2,552.79

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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.