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Finding the Third Proportional to 527.75 and 807.88

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Solution

The third proportional to 527.75 and 807.88 is: 1,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 807.88 = 807.88 : x
  2. Step 2: Convert to fraction form
    527.75/807.88 = 807.88/x
  3. Step 3: Cross multiply
    527.75x = 807.88 × 807.88
  4. Step 4: Simplify right side
    527.75x = 652,662.02
  5. Step 5: Solve for x
    x = 652,662.02/527.75
  6. Step 6: Final answer
    x = 1,236.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.