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Finding the Third Proportional to 338,444 and 449,253

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Solution

The third proportional to 338,444 and 449,253 is: 596,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,444 : 449,253 = 449,253 : x
  2. Step 2: Convert to fraction form
    338,444/449,253 = 449,253/x
  3. Step 3: Cross multiply
    338,444x = 449,253 × 449,253
  4. Step 4: Simplify right side
    338,444x = 201,828,258,009
  5. Step 5: Solve for x
    x = 201,828,258,009/338,444
  6. Step 6: Final answer
    x = 596,341.66

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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.