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Finding the Third Proportional to 252,679.50 and 552,834

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Solution

The third proportional to 252,679.50 and 552,834 is: 1,209,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,679.50 : 552,834 = 552,834 : x
  2. Step 2: Convert to fraction form
    252,679.50/552,834 = 552,834/x
  3. Step 3: Cross multiply
    252,679.50x = 552,834 × 552,834
  4. Step 4: Simplify right side
    252,679.50x = 305,625,431,556
  5. Step 5: Solve for x
    x = 305,625,431,556/252,679.50
  6. Step 6: Final answer
    x = 1,209,537.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.