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Finding the Third Proportional to 559,202 and 855,067

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Solution

The third proportional to 559,202 and 855,067 is: 1,307,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,202 : 855,067 = 855,067 : x
  2. Step 2: Convert to fraction form
    559,202/855,067 = 855,067/x
  3. Step 3: Cross multiply
    559,202x = 855,067 × 855,067
  4. Step 4: Simplify right side
    559,202x = 731,139,574,489
  5. Step 5: Solve for x
    x = 731,139,574,489/559,202
  6. Step 6: Final answer
    x = 1,307,469.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.