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Finding the Third Proportional to 297,458 and 446,847

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Solution

The third proportional to 297,458 and 446,847 is: 671,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458 : 446,847 = 446,847 : x
  2. Step 2: Convert to fraction form
    297,458/446,847 = 446,847/x
  3. Step 3: Cross multiply
    297,458x = 446,847 × 446,847
  4. Step 4: Simplify right side
    297,458x = 199,672,241,409
  5. Step 5: Solve for x
    x = 199,672,241,409/297,458
  6. Step 6: Final answer
    x = 671,261.96

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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.