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Finding the Third Proportional to 202,932 and 440,850

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Solution

The third proportional to 202,932 and 440,850 is: 957,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,932 : 440,850 = 440,850 : x
  2. Step 2: Convert to fraction form
    202,932/440,850 = 440,850/x
  3. Step 3: Cross multiply
    202,932x = 440,850 × 440,850
  4. Step 4: Simplify right side
    202,932x = 194,348,722,500
  5. Step 5: Solve for x
    x = 194,348,722,500/202,932
  6. Step 6: Final answer
    x = 957,703.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.