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Finding the Third Proportional to 236,410 and 354,857

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Solution

The third proportional to 236,410 and 354,857 is: 532,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,410 : 354,857 = 354,857 : x
  2. Step 2: Convert to fraction form
    236,410/354,857 = 354,857/x
  3. Step 3: Cross multiply
    236,410x = 354,857 × 354,857
  4. Step 4: Simplify right side
    236,410x = 125,923,490,449
  5. Step 5: Solve for x
    x = 125,923,490,449/236,410
  6. Step 6: Final answer
    x = 532,648.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.