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Finding the Third Proportional to 650.95 and 1,432.27

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Solution

The third proportional to 650.95 and 1,432.27 is: 3,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.95 : 1,432.27 = 1,432.27 : x
  2. Step 2: Convert to fraction form
    650.95/1,432.27 = 1,432.27/x
  3. Step 3: Cross multiply
    650.95x = 1,432.27 × 1,432.27
  4. Step 4: Simplify right side
    650.95x = 2,051,384.82
  5. Step 5: Solve for x
    x = 2,051,384.82/650.95
  6. Step 6: Final answer
    x = 3,151.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.