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Finding the Third Proportional to 338,575 and 449,451

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Solution

The third proportional to 338,575 and 449,451 is: 596,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,575 : 449,451 = 449,451 : x
  2. Step 2: Convert to fraction form
    338,575/449,451 = 449,451/x
  3. Step 3: Cross multiply
    338,575x = 449,451 × 449,451
  4. Step 4: Simplify right side
    338,575x = 202,006,201,401
  5. Step 5: Solve for x
    x = 202,006,201,401/338,575
  6. Step 6: Final answer
    x = 596,636.50

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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.