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Finding the Third Proportional to 189,279 and 404,822

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Solution

The third proportional to 189,279 and 404,822 is: 865,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,279 : 404,822 = 404,822 : x
  2. Step 2: Convert to fraction form
    189,279/404,822 = 404,822/x
  3. Step 3: Cross multiply
    189,279x = 404,822 × 404,822
  4. Step 4: Simplify right side
    189,279x = 163,880,851,684
  5. Step 5: Solve for x
    x = 163,880,851,684/189,279
  6. Step 6: Final answer
    x = 865,816.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.