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Finding the Third Proportional to 319.50 and 495.28

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Solution

The third proportional to 319.50 and 495.28 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 495.28 = 495.28 : x
  2. Step 2: Convert to fraction form
    319.50/495.28 = 495.28/x
  3. Step 3: Cross multiply
    319.50x = 495.28 × 495.28
  4. Step 4: Simplify right side
    319.50x = 245,303.52
  5. Step 5: Solve for x
    x = 245,303.52/319.50
  6. Step 6: Final answer
    x = 767.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.