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Finding the Third Proportional to 297,052.31 and 447,006.09

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Solution

The third proportional to 297,052.31 and 447,006.09 is: 672,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,052.31 : 447,006.09 = 447,006.09 : x
  2. Step 2: Convert to fraction form
    297,052.31/447,006.09 = 447,006.09/x
  3. Step 3: Cross multiply
    297,052.31x = 447,006.09 × 447,006.09
  4. Step 4: Simplify right side
    297,052.31x = 199,814,447,849.63
  5. Step 5: Solve for x
    x = 199,814,447,849.63/297,052.31
  6. Step 6: Final answer
    x = 672,657.44

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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.