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Finding the Third Proportional to 262,012 and 561,408

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Solution

The third proportional to 262,012 and 561,408 is: 1,202,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,012 : 561,408 = 561,408 : x
  2. Step 2: Convert to fraction form
    262,012/561,408 = 561,408/x
  3. Step 3: Cross multiply
    262,012x = 561,408 × 561,408
  4. Step 4: Simplify right side
    262,012x = 315,178,942,464
  5. Step 5: Solve for x
    x = 315,178,942,464/262,012
  6. Step 6: Final answer
    x = 1,202,917.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.