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Finding the Third Proportional to 330.97 and 464.94

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Solution

The third proportional to 330.97 and 464.94 is: 653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 464.94 = 464.94 : x
  2. Step 2: Convert to fraction form
    330.97/464.94 = 464.94/x
  3. Step 3: Cross multiply
    330.97x = 464.94 × 464.94
  4. Step 4: Simplify right side
    330.97x = 216,166.88
  5. Step 5: Solve for x
    x = 216,166.88/330.97
  6. Step 6: Final answer
    x = 653.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.