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Finding the Third Proportional to 302.91 and 471.94

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Solution

The third proportional to 302.91 and 471.94 is: 735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.91 : 471.94 = 471.94 : x
  2. Step 2: Convert to fraction form
    302.91/471.94 = 471.94/x
  3. Step 3: Cross multiply
    302.91x = 471.94 × 471.94
  4. Step 4: Simplify right side
    302.91x = 222,725.00
  5. Step 5: Solve for x
    x = 222,725.00/302.91
  6. Step 6: Final answer
    x = 735.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.