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Finding the Third Proportional to 296,024 and 639,404

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Solution

The third proportional to 296,024 and 639,404 is: 1,381,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,024 : 639,404 = 639,404 : x
  2. Step 2: Convert to fraction form
    296,024/639,404 = 639,404/x
  3. Step 3: Cross multiply
    296,024x = 639,404 × 639,404
  4. Step 4: Simplify right side
    296,024x = 408,837,475,216
  5. Step 5: Solve for x
    x = 408,837,475,216/296,024
  6. Step 6: Final answer
    x = 1,381,095.71

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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.