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Finding the Third Proportional to 291,846 and 639,049.50

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Solution

The third proportional to 291,846 and 639,049.50 is: 1,399,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,846 : 639,049.50 = 639,049.50 : x
  2. Step 2: Convert to fraction form
    291,846/639,049.50 = 639,049.50/x
  3. Step 3: Cross multiply
    291,846x = 639,049.50 × 639,049.50
  4. Step 4: Simplify right side
    291,846x = 408,384,263,450.25
  5. Step 5: Solve for x
    x = 408,384,263,450.25/291,846
  6. Step 6: Final answer
    x = 1,399,314.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.