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Finding the Third Proportional to 226,914 and 493,620

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Solution

The third proportional to 226,914 and 493,620 is: 1,073,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,914 : 493,620 = 493,620 : x
  2. Step 2: Convert to fraction form
    226,914/493,620 = 493,620/x
  3. Step 3: Cross multiply
    226,914x = 493,620 × 493,620
  4. Step 4: Simplify right side
    226,914x = 243,660,704,400
  5. Step 5: Solve for x
    x = 243,660,704,400/226,914
  6. Step 6: Final answer
    x = 1,073,801.99

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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.