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Finding the Third Proportional to 338,969 and 464,801

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Solution

The third proportional to 338,969 and 464,801 is: 637,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,969 : 464,801 = 464,801 : x
  2. Step 2: Convert to fraction form
    338,969/464,801 = 464,801/x
  3. Step 3: Cross multiply
    338,969x = 464,801 × 464,801
  4. Step 4: Simplify right side
    338,969x = 216,039,969,601
  5. Step 5: Solve for x
    x = 216,039,969,601/338,969
  6. Step 6: Final answer
    x = 637,344.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.