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Finding the Third Proportional to 258,864 and 530,268

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Solution

The third proportional to 258,864 and 530,268 is: 1,086,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,864 : 530,268 = 530,268 : x
  2. Step 2: Convert to fraction form
    258,864/530,268 = 530,268/x
  3. Step 3: Cross multiply
    258,864x = 530,268 × 530,268
  4. Step 4: Simplify right side
    258,864x = 281,184,151,824
  5. Step 5: Solve for x
    x = 281,184,151,824/258,864
  6. Step 6: Final answer
    x = 1,086,223.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.