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Finding the Third Proportional to 338,948 and 449,829

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Solution

The third proportional to 338,948 and 449,829 is: 596,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,948 : 449,829 = 449,829 : x
  2. Step 2: Convert to fraction form
    338,948/449,829 = 449,829/x
  3. Step 3: Cross multiply
    338,948x = 449,829 × 449,829
  4. Step 4: Simplify right side
    338,948x = 202,346,129,241
  5. Step 5: Solve for x
    x = 202,346,129,241/338,948
  6. Step 6: Final answer
    x = 596,982.81

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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.