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Finding the Third Proportional to 527.56 and 1,154.44

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Solution

The third proportional to 527.56 and 1,154.44 is: 2,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 1,154.44 = 1,154.44 : x
  2. Step 2: Convert to fraction form
    527.56/1,154.44 = 1,154.44/x
  3. Step 3: Cross multiply
    527.56x = 1,154.44 × 1,154.44
  4. Step 4: Simplify right side
    527.56x = 1,332,725.94
  5. Step 5: Solve for x
    x = 1,332,725.94/527.56
  6. Step 6: Final answer
    x = 2,526.20

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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.