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Finding the Third Proportional to 297,059 and 447,007

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Solution

The third proportional to 297,059 and 447,007 is: 672,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,059 : 447,007 = 447,007 : x
  2. Step 2: Convert to fraction form
    297,059/447,007 = 447,007/x
  3. Step 3: Cross multiply
    297,059x = 447,007 × 447,007
  4. Step 4: Simplify right side
    297,059x = 199,815,258,049
  5. Step 5: Solve for x
    x = 199,815,258,049/297,059
  6. Step 6: Final answer
    x = 672,645.02

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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.