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Finding the Third Proportional to 302.91 and 420.94

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Solution

The third proportional to 302.91 and 420.94 is: 584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.91 : 420.94 = 420.94 : x
  2. Step 2: Convert to fraction form
    302.91/420.94 = 420.94/x
  3. Step 3: Cross multiply
    302.91x = 420.94 × 420.94
  4. Step 4: Simplify right side
    302.91x = 177,188.38
  5. Step 5: Solve for x
    x = 177,188.38/302.91
  6. Step 6: Final answer
    x = 584.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.