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Finding the Third Proportional to 297,504 and 446,906

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Solution

The third proportional to 297,504 and 446,906 is: 671,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,504 : 446,906 = 446,906 : x
  2. Step 2: Convert to fraction form
    297,504/446,906 = 446,906/x
  3. Step 3: Cross multiply
    297,504x = 446,906 × 446,906
  4. Step 4: Simplify right side
    297,504x = 199,724,972,836
  5. Step 5: Solve for x
    x = 199,724,972,836/297,504
  6. Step 6: Final answer
    x = 671,335.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.