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Finding the Third Proportional to 235,860 and 362,965

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Solution

The third proportional to 235,860 and 362,965 is: 558,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,860 : 362,965 = 362,965 : x
  2. Step 2: Convert to fraction form
    235,860/362,965 = 362,965/x
  3. Step 3: Cross multiply
    235,860x = 362,965 × 362,965
  4. Step 4: Simplify right side
    235,860x = 131,743,591,225
  5. Step 5: Solve for x
    x = 131,743,591,225/235,860
  6. Step 6: Final answer
    x = 558,566.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.