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Finding the Third Proportional to 297,384 and 446,166

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Solution

The third proportional to 297,384 and 446,166 is: 669,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,384 : 446,166 = 446,166 : x
  2. Step 2: Convert to fraction form
    297,384/446,166 = 446,166/x
  3. Step 3: Cross multiply
    297,384x = 446,166 × 446,166
  4. Step 4: Simplify right side
    297,384x = 199,064,099,556
  5. Step 5: Solve for x
    x = 199,064,099,556/297,384
  6. Step 6: Final answer
    x = 669,384.03

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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.