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Finding the Third Proportional to 258,861 and 530,262

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Solution

The third proportional to 258,861 and 530,262 is: 1,086,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,861 : 530,262 = 530,262 : x
  2. Step 2: Convert to fraction form
    258,861/530,262 = 530,262/x
  3. Step 3: Cross multiply
    258,861x = 530,262 × 530,262
  4. Step 4: Simplify right side
    258,861x = 281,177,788,644
  5. Step 5: Solve for x
    x = 281,177,788,644/258,861
  6. Step 6: Final answer
    x = 1,086,211.48

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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.