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Finding the Third Proportional to 338,823 and 451,701

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Solution

The third proportional to 338,823 and 451,701 is: 602,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,823 : 451,701 = 451,701 : x
  2. Step 2: Convert to fraction form
    338,823/451,701 = 451,701/x
  3. Step 3: Cross multiply
    338,823x = 451,701 × 451,701
  4. Step 4: Simplify right side
    338,823x = 204,033,793,401
  5. Step 5: Solve for x
    x = 204,033,793,401/338,823
  6. Step 6: Final answer
    x = 602,184.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.