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Finding the Third Proportional to 332.95 and 495.98

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Solution

The third proportional to 332.95 and 495.98 is: 738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.95 : 495.98 = 495.98 : x
  2. Step 2: Convert to fraction form
    332.95/495.98 = 495.98/x
  3. Step 3: Cross multiply
    332.95x = 495.98 × 495.98
  4. Step 4: Simplify right side
    332.95x = 246,000.50
  5. Step 5: Solve for x
    x = 246,000.50/332.95
  6. Step 6: Final answer
    x = 738.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.