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Finding the Third Proportional to 365,837 and 563,019

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Solution

The third proportional to 365,837 and 563,019 is: 866,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,837 : 563,019 = 563,019 : x
  2. Step 2: Convert to fraction form
    365,837/563,019 = 563,019/x
  3. Step 3: Cross multiply
    365,837x = 563,019 × 563,019
  4. Step 4: Simplify right side
    365,837x = 316,990,394,361
  5. Step 5: Solve for x
    x = 316,990,394,361/365,837
  6. Step 6: Final answer
    x = 866,479.86

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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.