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Finding the Third Proportional to 527.78 and 1,176.92

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Solution

The third proportional to 527.78 and 1,176.92 is: 2,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 1,176.92 = 1,176.92 : x
  2. Step 2: Convert to fraction form
    527.78/1,176.92 = 1,176.92/x
  3. Step 3: Cross multiply
    527.78x = 1,176.92 × 1,176.92
  4. Step 4: Simplify right side
    527.78x = 1,385,145.10
  5. Step 5: Solve for x
    x = 1,385,145.10/527.78
  6. Step 6: Final answer
    x = 2,624.47

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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.