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Finding the Third Proportional to 302.91 and 733.22

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Solution

The third proportional to 302.91 and 733.22 is: 1,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.91 : 733.22 = 733.22 : x
  2. Step 2: Convert to fraction form
    302.91/733.22 = 733.22/x
  3. Step 3: Cross multiply
    302.91x = 733.22 × 733.22
  4. Step 4: Simplify right side
    302.91x = 537,609.74
  5. Step 5: Solve for x
    x = 537,609.74/302.91
  6. Step 6: Final answer
    x = 1,774.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.