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Finding the Third Proportional to 296,027 and 639,410

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Solution

The third proportional to 296,027 and 639,410 is: 1,381,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,027 : 639,410 = 639,410 : x
  2. Step 2: Convert to fraction form
    296,027/639,410 = 639,410/x
  3. Step 3: Cross multiply
    296,027x = 639,410 × 639,410
  4. Step 4: Simplify right side
    296,027x = 408,845,148,100
  5. Step 5: Solve for x
    x = 408,845,148,100/296,027
  6. Step 6: Final answer
    x = 1,381,107.63

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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.