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Finding the Third Proportional to 338,446 and 449,256

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Solution

The third proportional to 338,446 and 449,256 is: 596,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,446 : 449,256 = 449,256 : x
  2. Step 2: Convert to fraction form
    338,446/449,256 = 449,256/x
  3. Step 3: Cross multiply
    338,446x = 449,256 × 449,256
  4. Step 4: Simplify right side
    338,446x = 201,830,953,536
  5. Step 5: Solve for x
    x = 201,830,953,536/338,446
  6. Step 6: Final answer
    x = 596,346.10

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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.