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Finding the Third Proportional to 338,577 and 449,454

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Solution

The third proportional to 338,577 and 449,454 is: 596,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,577 : 449,454 = 449,454 : x
  2. Step 2: Convert to fraction form
    338,577/449,454 = 449,454/x
  3. Step 3: Cross multiply
    338,577x = 449,454 × 449,454
  4. Step 4: Simplify right side
    338,577x = 202,008,898,116
  5. Step 5: Solve for x
    x = 202,008,898,116/338,577
  6. Step 6: Final answer
    x = 596,640.94

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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.