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Finding the Third Proportional to 262,860 and 371,941

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Solution

The third proportional to 262,860 and 371,941 is: 526,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,860 : 371,941 = 371,941 : x
  2. Step 2: Convert to fraction form
    262,860/371,941 = 371,941/x
  3. Step 3: Cross multiply
    262,860x = 371,941 × 371,941
  4. Step 4: Simplify right side
    262,860x = 138,340,107,481
  5. Step 5: Solve for x
    x = 138,340,107,481/262,860
  6. Step 6: Final answer
    x = 526,288.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.