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Finding the Third Proportional to 366,822 and 757,215

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Solution

The third proportional to 366,822 and 757,215 is: 1,563,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,822 : 757,215 = 757,215 : x
  2. Step 2: Convert to fraction form
    366,822/757,215 = 757,215/x
  3. Step 3: Cross multiply
    366,822x = 757,215 × 757,215
  4. Step 4: Simplify right side
    366,822x = 573,374,556,225
  5. Step 5: Solve for x
    x = 573,374,556,225/366,822
  6. Step 6: Final answer
    x = 1,563,086.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.