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Finding the Third Proportional to 527.44 and 583.88

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Solution

The third proportional to 527.44 and 583.88 is: 646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.44 : 583.88 = 583.88 : x
  2. Step 2: Convert to fraction form
    527.44/583.88 = 583.88/x
  3. Step 3: Cross multiply
    527.44x = 583.88 × 583.88
  4. Step 4: Simplify right side
    527.44x = 340,910.02
  5. Step 5: Solve for x
    x = 340,910.02/527.44
  6. Step 6: Final answer
    x = 646.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.