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Finding the Third Proportional to 223,424 and 486,994

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Solution

The third proportional to 223,424 and 486,994 is: 1,061,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,424 : 486,994 = 486,994 : x
  2. Step 2: Convert to fraction form
    223,424/486,994 = 486,994/x
  3. Step 3: Cross multiply
    223,424x = 486,994 × 486,994
  4. Step 4: Simplify right side
    223,424x = 237,163,156,036
  5. Step 5: Solve for x
    x = 237,163,156,036/223,424
  6. Step 6: Final answer
    x = 1,061,493.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.