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Finding the Third Proportional to 573.19 and 836.72

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Solution

The third proportional to 573.19 and 836.72 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 836.72 = 836.72 : x
  2. Step 2: Convert to fraction form
    573.19/836.72 = 836.72/x
  3. Step 3: Cross multiply
    573.19x = 836.72 × 836.72
  4. Step 4: Simplify right side
    573.19x = 700,098.27
  5. Step 5: Solve for x
    x = 700,098.27/573.19
  6. Step 6: Final answer
    x = 1,221.41

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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.