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Finding the Third Proportional to 253,731 and 552,666

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Solution

The third proportional to 253,731 and 552,666 is: 1,203,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,731 : 552,666 = 552,666 : x
  2. Step 2: Convert to fraction form
    253,731/552,666 = 552,666/x
  3. Step 3: Cross multiply
    253,731x = 552,666 × 552,666
  4. Step 4: Simplify right side
    253,731x = 305,439,707,556
  5. Step 5: Solve for x
    x = 305,439,707,556/253,731
  6. Step 6: Final answer
    x = 1,203,793.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.