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Finding the Third Proportional to 262,074 and 561,496

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Solution

The third proportional to 262,074 and 561,496 is: 1,203,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,074 : 561,496 = 561,496 : x
  2. Step 2: Convert to fraction form
    262,074/561,496 = 561,496/x
  3. Step 3: Cross multiply
    262,074x = 561,496 × 561,496
  4. Step 4: Simplify right side
    262,074x = 315,277,758,016
  5. Step 5: Solve for x
    x = 315,277,758,016/262,074
  6. Step 6: Final answer
    x = 1,203,010.44

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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.