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Finding the Third Proportional to 215,822 and 322,435

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Solution

The third proportional to 215,822 and 322,435 is: 481,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,822 : 322,435 = 322,435 : x
  2. Step 2: Convert to fraction form
    215,822/322,435 = 322,435/x
  3. Step 3: Cross multiply
    215,822x = 322,435 × 322,435
  4. Step 4: Simplify right side
    215,822x = 103,964,329,225
  5. Step 5: Solve for x
    x = 103,964,329,225/215,822
  6. Step 6: Final answer
    x = 481,713.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.