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Finding the Third Proportional to 226,348 and 491,636

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Solution

The third proportional to 226,348 and 491,636 is: 1,067,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,348 : 491,636 = 491,636 : x
  2. Step 2: Convert to fraction form
    226,348/491,636 = 491,636/x
  3. Step 3: Cross multiply
    226,348x = 491,636 × 491,636
  4. Step 4: Simplify right side
    226,348x = 241,705,956,496
  5. Step 5: Solve for x
    x = 241,705,956,496/226,348
  6. Step 6: Final answer
    x = 1,067,851.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.