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Finding the Third Proportional to 521.13 and 1,114.16

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Solution

The third proportional to 521.13 and 1,114.16 is: 2,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.13 : 1,114.16 = 1,114.16 : x
  2. Step 2: Convert to fraction form
    521.13/1,114.16 = 1,114.16/x
  3. Step 3: Cross multiply
    521.13x = 1,114.16 × 1,114.16
  4. Step 4: Simplify right side
    521.13x = 1,241,344.15
  5. Step 5: Solve for x
    x = 1,241,344.15/521.13
  6. Step 6: Final answer
    x = 2,382.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.