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Finding the Third Proportional to 296,602 and 639,861

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Solution

The third proportional to 296,602 and 639,861 is: 1,380,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,602 : 639,861 = 639,861 : x
  2. Step 2: Convert to fraction form
    296,602/639,861 = 639,861/x
  3. Step 3: Cross multiply
    296,602x = 639,861 × 639,861
  4. Step 4: Simplify right side
    296,602x = 409,422,099,321
  5. Step 5: Solve for x
    x = 409,422,099,321/296,602
  6. Step 6: Final answer
    x = 1,380,375.38

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Why These Related Problems?

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