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Finding the Third Proportional to 291,832.88 and 639,024.19

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Solution

The third proportional to 291,832.88 and 639,024.19 is: 1,399,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,832.88 : 639,024.19 = 639,024.19 : x
  2. Step 2: Convert to fraction form
    291,832.88/639,024.19 = 639,024.19/x
  3. Step 3: Cross multiply
    291,832.88x = 639,024.19 × 639,024.19
  4. Step 4: Simplify right side
    291,832.88x = 408,351,912,210.04
  5. Step 5: Solve for x
    x = 408,351,912,210.04/291,832.88
  6. Step 6: Final answer
    x = 1,399,266.32

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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.