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Finding the Third Proportional to 540.14 and 836.02

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Solution

The third proportional to 540.14 and 836.02 is: 1,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 836.02 = 836.02 : x
  2. Step 2: Convert to fraction form
    540.14/836.02 = 836.02/x
  3. Step 3: Cross multiply
    540.14x = 836.02 × 836.02
  4. Step 4: Simplify right side
    540.14x = 698,922.13
  5. Step 5: Solve for x
    x = 698,922.13/540.14
  6. Step 6: Final answer
    x = 1,293.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.