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Finding the Third Proportional to 296,161.75 and 639,605.75

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Solution

The third proportional to 296,161.75 and 639,605.75 is: 1,381,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,161.75 : 639,605.75 = 639,605.75 : x
  2. Step 2: Convert to fraction form
    296,161.75/639,605.75 = 639,605.75/x
  3. Step 3: Cross multiply
    296,161.75x = 639,605.75 × 639,605.75
  4. Step 4: Simplify right side
    296,161.75x = 409,095,515,433.06
  5. Step 5: Solve for x
    x = 409,095,515,433.06/296,161.75
  6. Step 6: Final answer
    x = 1,381,324.62

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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.