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Finding the Third Proportional to 327,122 and 705,822

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Solution

The third proportional to 327,122 and 705,822 is: 1,522,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,122 : 705,822 = 705,822 : x
  2. Step 2: Convert to fraction form
    327,122/705,822 = 705,822/x
  3. Step 3: Cross multiply
    327,122x = 705,822 × 705,822
  4. Step 4: Simplify right side
    327,122x = 498,184,695,684
  5. Step 5: Solve for x
    x = 498,184,695,684/327,122
  6. Step 6: Final answer
    x = 1,522,932.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.