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Finding the Third Proportional to 202,917 and 432,996

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Solution

The third proportional to 202,917 and 432,996 is: 923,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,917 : 432,996 = 432,996 : x
  2. Step 2: Convert to fraction form
    202,917/432,996 = 432,996/x
  3. Step 3: Cross multiply
    202,917x = 432,996 × 432,996
  4. Step 4: Simplify right side
    202,917x = 187,485,536,016
  5. Step 5: Solve for x
    x = 187,485,536,016/202,917
  6. Step 6: Final answer
    x = 923,951.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.