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Finding the Third Proportional to 241,872 and 564,809

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Solution

The third proportional to 241,872 and 564,809 is: 1,318,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,872 : 564,809 = 564,809 : x
  2. Step 2: Convert to fraction form
    241,872/564,809 = 564,809/x
  3. Step 3: Cross multiply
    241,872x = 564,809 × 564,809
  4. Step 4: Simplify right side
    241,872x = 319,009,206,481
  5. Step 5: Solve for x
    x = 319,009,206,481/241,872
  6. Step 6: Final answer
    x = 1,318,917.47

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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.