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Finding the Third Proportional to 291,294.56 and 447,093

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Solution

The third proportional to 291,294.56 and 447,093 is: 686,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294.56 : 447,093 = 447,093 : x
  2. Step 2: Convert to fraction form
    291,294.56/447,093 = 447,093/x
  3. Step 3: Cross multiply
    291,294.56x = 447,093 × 447,093
  4. Step 4: Simplify right side
    291,294.56x = 199,892,150,649
  5. Step 5: Solve for x
    x = 199,892,150,649/291,294.56
  6. Step 6: Final answer
    x = 686,219.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.