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Finding the Third Proportional to 527.06 and 1,431.56

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Solution

The third proportional to 527.06 and 1,431.56 is: 3,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 1,431.56 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    527.06/1,431.56 = 1,431.56/x
  3. Step 3: Cross multiply
    527.06x = 1,431.56 × 1,431.56
  4. Step 4: Simplify right side
    527.06x = 2,049,371.19
  5. Step 5: Solve for x
    x = 2,049,371.19/527.06
  6. Step 6: Final answer
    x = 3,888.29

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.