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Finding the Third Proportional to 339.44 and 508.94

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Solution

The third proportional to 339.44 and 508.94 is: 763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.44 : 508.94 = 508.94 : x
  2. Step 2: Convert to fraction form
    339.44/508.94 = 508.94/x
  3. Step 3: Cross multiply
    339.44x = 508.94 × 508.94
  4. Step 4: Simplify right side
    339.44x = 259,017.38
  5. Step 5: Solve for x
    x = 259,017.38/339.44
  6. Step 6: Final answer
    x = 763.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.