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Finding the Third Proportional to 296,161.22 and 639,604.78

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Solution

The third proportional to 296,161.22 and 639,604.78 is: 1,381,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,161.22 : 639,604.78 = 639,604.78 : x
  2. Step 2: Convert to fraction form
    296,161.22/639,604.78 = 639,604.78/x
  3. Step 3: Cross multiply
    296,161.22x = 639,604.78 × 639,604.78
  4. Step 4: Simplify right side
    296,161.22x = 409,094,276,197.86
  5. Step 5: Solve for x
    x = 409,094,276,197.86/296,161.22
  6. Step 6: Final answer
    x = 1,381,322.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.