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Finding the Third Proportional to 319.13 and 733.13

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Solution

The third proportional to 319.13 and 733.13 is: 1,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 733.13 = 733.13 : x
  2. Step 2: Convert to fraction form
    319.13/733.13 = 733.13/x
  3. Step 3: Cross multiply
    319.13x = 733.13 × 733.13
  4. Step 4: Simplify right side
    319.13x = 537,472.27
  5. Step 5: Solve for x
    x = 537,472.27/319.13
  6. Step 6: Final answer
    x = 1,684.21

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.