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Finding the Third Proportional to 521.81 and 1,134.19

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Solution

The third proportional to 521.81 and 1,134.19 is: 2,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.81 : 1,134.19 = 1,134.19 : x
  2. Step 2: Convert to fraction form
    521.81/1,134.19 = 1,134.19/x
  3. Step 3: Cross multiply
    521.81x = 1,134.19 × 1,134.19
  4. Step 4: Simplify right side
    521.81x = 1,286,381.29
  5. Step 5: Solve for x
    x = 1,286,381.29/521.81
  6. Step 6: Final answer
    x = 2,465.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.