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Finding the Third Proportional to 296,189 and 446,900

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Solution

The third proportional to 296,189 and 446,900 is: 674,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,189 : 446,900 = 446,900 : x
  2. Step 2: Convert to fraction form
    296,189/446,900 = 446,900/x
  3. Step 3: Cross multiply
    296,189x = 446,900 × 446,900
  4. Step 4: Simplify right side
    296,189x = 199,719,610,000
  5. Step 5: Solve for x
    x = 199,719,610,000/296,189
  6. Step 6: Final answer
    x = 674,297.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.