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Finding the Third Proportional to 258,855 and 530,250

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Solution

The third proportional to 258,855 and 530,250 is: 1,086,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,855 : 530,250 = 530,250 : x
  2. Step 2: Convert to fraction form
    258,855/530,250 = 530,250/x
  3. Step 3: Cross multiply
    258,855x = 530,250 × 530,250
  4. Step 4: Simplify right side
    258,855x = 281,165,062,500
  5. Step 5: Solve for x
    x = 281,165,062,500/258,855
  6. Step 6: Final answer
    x = 1,086,187.49

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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.