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Finding the Third Proportional to 241,864 and 564,790

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Solution

The third proportional to 241,864 and 564,790 is: 1,318,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,864 : 564,790 = 564,790 : x
  2. Step 2: Convert to fraction form
    241,864/564,790 = 564,790/x
  3. Step 3: Cross multiply
    241,864x = 564,790 × 564,790
  4. Step 4: Simplify right side
    241,864x = 318,987,744,100
  5. Step 5: Solve for x
    x = 318,987,744,100/241,864
  6. Step 6: Final answer
    x = 1,318,872.36

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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.