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Finding the Third Proportional to 230,566 and 504,872

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Solution

The third proportional to 230,566 and 504,872 is: 1,105,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,566 : 504,872 = 504,872 : x
  2. Step 2: Convert to fraction form
    230,566/504,872 = 504,872/x
  3. Step 3: Cross multiply
    230,566x = 504,872 × 504,872
  4. Step 4: Simplify right side
    230,566x = 254,895,736,384
  5. Step 5: Solve for x
    x = 254,895,736,384/230,566
  6. Step 6: Final answer
    x = 1,105,521.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.