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Finding the Third Proportional to 241,867 and 564,801

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Solution

The third proportional to 241,867 and 564,801 is: 1,318,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,867 : 564,801 = 564,801 : x
  2. Step 2: Convert to fraction form
    241,867/564,801 = 564,801/x
  3. Step 3: Cross multiply
    241,867x = 564,801 × 564,801
  4. Step 4: Simplify right side
    241,867x = 319,000,169,601
  5. Step 5: Solve for x
    x = 319,000,169,601/241,867
  6. Step 6: Final answer
    x = 1,318,907.37

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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.