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Finding the Third Proportional to 527.48 and 1,176.33

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Solution

The third proportional to 527.48 and 1,176.33 is: 2,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 1,176.33 = 1,176.33 : x
  2. Step 2: Convert to fraction form
    527.48/1,176.33 = 1,176.33/x
  3. Step 3: Cross multiply
    527.48x = 1,176.33 × 1,176.33
  4. Step 4: Simplify right side
    527.48x = 1,383,747.86
  5. Step 5: Solve for x
    x = 1,383,747.86/527.48
  6. Step 6: Final answer
    x = 2,623.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.