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Finding the Third Proportional to 203,963 and 432,238

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Solution

The third proportional to 203,963 and 432,238 is: 915,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,963 : 432,238 = 432,238 : x
  2. Step 2: Convert to fraction form
    203,963/432,238 = 432,238/x
  3. Step 3: Cross multiply
    203,963x = 432,238 × 432,238
  4. Step 4: Simplify right side
    203,963x = 186,829,688,644
  5. Step 5: Solve for x
    x = 186,829,688,644/203,963
  6. Step 6: Final answer
    x = 915,997.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.