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Finding the Third Proportional to 297,949 and 441,129

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Solution

The third proportional to 297,949 and 441,129 is: 653,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,949 : 441,129 = 441,129 : x
  2. Step 2: Convert to fraction form
    297,949/441,129 = 441,129/x
  3. Step 3: Cross multiply
    297,949x = 441,129 × 441,129
  4. Step 4: Simplify right side
    297,949x = 194,594,794,641
  5. Step 5: Solve for x
    x = 194,594,794,641/297,949
  6. Step 6: Final answer
    x = 653,114.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.