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Finding the Third Proportional to 297,057 and 447,004

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Solution

The third proportional to 297,057 and 447,004 is: 672,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,057 : 447,004 = 447,004 : x
  2. Step 2: Convert to fraction form
    297,057/447,004 = 447,004/x
  3. Step 3: Cross multiply
    297,057x = 447,004 × 447,004
  4. Step 4: Simplify right side
    297,057x = 199,812,576,016
  5. Step 5: Solve for x
    x = 199,812,576,016/297,057
  6. Step 6: Final answer
    x = 672,640.52

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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.