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Finding the Third Proportional to 301.13 and 483.38

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Solution

The third proportional to 301.13 and 483.38 is: 775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 483.38 = 483.38 : x
  2. Step 2: Convert to fraction form
    301.13/483.38 = 483.38/x
  3. Step 3: Cross multiply
    301.13x = 483.38 × 483.38
  4. Step 4: Simplify right side
    301.13x = 233,651.39
  5. Step 5: Solve for x
    x = 233,651.39/301.13
  6. Step 6: Final answer
    x = 775.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.