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Finding the Third Proportional to 530.14 and 1,162.79

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Solution

The third proportional to 530.14 and 1,162.79 is: 2,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 1,162.79 = 1,162.79 : x
  2. Step 2: Convert to fraction form
    530.14/1,162.79 = 1,162.79/x
  3. Step 3: Cross multiply
    530.14x = 1,162.79 × 1,162.79
  4. Step 4: Simplify right side
    530.14x = 1,352,087.49
  5. Step 5: Solve for x
    x = 1,352,087.49/530.14
  6. Step 6: Final answer
    x = 2,550.44

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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.