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Finding the Third Proportional to 950.27 and 1,421.59

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Solution

The third proportional to 950.27 and 1,421.59 is: 2,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.27 : 1,421.59 = 1,421.59 : x
  2. Step 2: Convert to fraction form
    950.27/1,421.59 = 1,421.59/x
  3. Step 3: Cross multiply
    950.27x = 1,421.59 × 1,421.59
  4. Step 4: Simplify right side
    950.27x = 2,020,928.79
  5. Step 5: Solve for x
    x = 2,020,928.79/950.27
  6. Step 6: Final answer
    x = 2,126.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.