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Finding the Third Proportional to 262,006 and 561,398

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Solution

The third proportional to 262,006 and 561,398 is: 1,202,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,006 : 561,398 = 561,398 : x
  2. Step 2: Convert to fraction form
    262,006/561,398 = 561,398/x
  3. Step 3: Cross multiply
    262,006x = 561,398 × 561,398
  4. Step 4: Simplify right side
    262,006x = 315,167,714,404
  5. Step 5: Solve for x
    x = 315,167,714,404/262,006
  6. Step 6: Final answer
    x = 1,202,902.66

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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.