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Finding the Third Proportional to 221,642 and 534,357

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Solution

The third proportional to 221,642 and 534,357 is: 1,288,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,642 : 534,357 = 534,357 : x
  2. Step 2: Convert to fraction form
    221,642/534,357 = 534,357/x
  3. Step 3: Cross multiply
    221,642x = 534,357 × 534,357
  4. Step 4: Simplify right side
    221,642x = 285,537,403,449
  5. Step 5: Solve for x
    x = 285,537,403,449/221,642
  6. Step 6: Final answer
    x = 1,288,282.02

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.