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Finding the Third Proportional to 258,769.13 and 530,446.50

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Solution

The third proportional to 258,769.13 and 530,446.50 is: 1,087,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,769.13 : 530,446.50 = 530,446.50 : x
  2. Step 2: Convert to fraction form
    258,769.13/530,446.50 = 530,446.50/x
  3. Step 3: Cross multiply
    258,769.13x = 530,446.50 × 530,446.50
  4. Step 4: Simplify right side
    258,769.13x = 281,373,489,362.25
  5. Step 5: Solve for x
    x = 281,373,489,362.25/258,769.13
  6. Step 6: Final answer
    x = 1,087,353.41

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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.