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Finding the Third Proportional to 215,822 and 504,089

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Solution

The third proportional to 215,822 and 504,089 is: 1,177,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,822 : 504,089 = 504,089 : x
  2. Step 2: Convert to fraction form
    215,822/504,089 = 504,089/x
  3. Step 3: Cross multiply
    215,822x = 504,089 × 504,089
  4. Step 4: Simplify right side
    215,822x = 254,105,719,921
  5. Step 5: Solve for x
    x = 254,105,719,921/215,822
  6. Step 6: Final answer
    x = 1,177,385.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.