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Finding the Third Proportional to 262,510 and 562,198

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Solution

The third proportional to 262,510 and 562,198 is: 1,204,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,510 : 562,198 = 562,198 : x
  2. Step 2: Convert to fraction form
    262,510/562,198 = 562,198/x
  3. Step 3: Cross multiply
    262,510x = 562,198 × 562,198
  4. Step 4: Simplify right side
    262,510x = 316,066,591,204
  5. Step 5: Solve for x
    x = 316,066,591,204/262,510
  6. Step 6: Final answer
    x = 1,204,017.34

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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.