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Finding the Third Proportional to 297,380 and 446,160

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Solution

The third proportional to 297,380 and 446,160 is: 669,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,380 : 446,160 = 446,160 : x
  2. Step 2: Convert to fraction form
    297,380/446,160 = 446,160/x
  3. Step 3: Cross multiply
    297,380x = 446,160 × 446,160
  4. Step 4: Simplify right side
    297,380x = 199,058,745,600
  5. Step 5: Solve for x
    x = 199,058,745,600/297,380
  6. Step 6: Final answer
    x = 669,375.03

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