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Finding the Third Proportional to 261,923 and 571,824

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Solution

The third proportional to 261,923 and 571,824 is: 1,248,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,923 : 571,824 = 571,824 : x
  2. Step 2: Convert to fraction form
    261,923/571,824 = 571,824/x
  3. Step 3: Cross multiply
    261,923x = 571,824 × 571,824
  4. Step 4: Simplify right side
    261,923x = 326,982,686,976
  5. Step 5: Solve for x
    x = 326,982,686,976/261,923
  6. Step 6: Final answer
    x = 1,248,392.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.