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Finding the Third Proportional to 363,102 and 559,965

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Solution

The third proportional to 363,102 and 559,965 is: 863,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,102 : 559,965 = 559,965 : x
  2. Step 2: Convert to fraction form
    363,102/559,965 = 559,965/x
  3. Step 3: Cross multiply
    363,102x = 559,965 × 559,965
  4. Step 4: Simplify right side
    363,102x = 313,560,801,225
  5. Step 5: Solve for x
    x = 313,560,801,225/363,102
  6. Step 6: Final answer
    x = 863,561.21

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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.