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Finding the Third Proportional to 202,629 and 440,934

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Solution

The third proportional to 202,629 and 440,934 is: 959,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,629 : 440,934 = 440,934 : x
  2. Step 2: Convert to fraction form
    202,629/440,934 = 440,934/x
  3. Step 3: Cross multiply
    202,629x = 440,934 × 440,934
  4. Step 4: Simplify right side
    202,629x = 194,422,792,356
  5. Step 5: Solve for x
    x = 194,422,792,356/202,629
  6. Step 6: Final answer
    x = 959,501.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.