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Finding the Third Proportional to 253,695 and 557,610

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Solution

The third proportional to 253,695 and 557,610 is: 1,225,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,695 : 557,610 = 557,610 : x
  2. Step 2: Convert to fraction form
    253,695/557,610 = 557,610/x
  3. Step 3: Cross multiply
    253,695x = 557,610 × 557,610
  4. Step 4: Simplify right side
    253,695x = 310,928,912,100
  5. Step 5: Solve for x
    x = 310,928,912,100/253,695
  6. Step 6: Final answer
    x = 1,225,601.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.