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Finding the Third Proportional to 572.06 and 836.16

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Solution

The third proportional to 572.06 and 836.16 is: 1,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 836.16 = 836.16 : x
  2. Step 2: Convert to fraction form
    572.06/836.16 = 836.16/x
  3. Step 3: Cross multiply
    572.06x = 836.16 × 836.16
  4. Step 4: Simplify right side
    572.06x = 699,157.27
  5. Step 5: Solve for x
    x = 699,157.27/572.06
  6. Step 6: Final answer
    x = 1,222.17

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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.