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Finding the Third Proportional to 336.38 and 506.94

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Solution

The third proportional to 336.38 and 506.94 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 506.94 = 506.94 : x
  2. Step 2: Convert to fraction form
    336.38/506.94 = 506.94/x
  3. Step 3: Cross multiply
    336.38x = 506.94 × 506.94
  4. Step 4: Simplify right side
    336.38x = 256,985.63
  5. Step 5: Solve for x
    x = 256,985.63/336.38
  6. Step 6: Final answer
    x = 763.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.