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Finding the Third Proportional to 571.92 and 836.02

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Solution

The third proportional to 571.92 and 836.02 is: 1,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.92 : 836.02 = 836.02 : x
  2. Step 2: Convert to fraction form
    571.92/836.02 = 836.02/x
  3. Step 3: Cross multiply
    571.92x = 836.02 × 836.02
  4. Step 4: Simplify right side
    571.92x = 698,922.13
  5. Step 5: Solve for x
    x = 698,922.13/571.92
  6. Step 6: Final answer
    x = 1,222.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.