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Finding the Third Proportional to 297,086 and 447,053

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Solution

The third proportional to 297,086 and 447,053 is: 672,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,086 : 447,053 = 447,053 : x
  2. Step 2: Convert to fraction form
    297,086/447,053 = 447,053/x
  3. Step 3: Cross multiply
    297,086x = 447,053 × 447,053
  4. Step 4: Simplify right side
    297,086x = 199,856,384,809
  5. Step 5: Solve for x
    x = 199,856,384,809/297,086
  6. Step 6: Final answer
    x = 672,722.33

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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.