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Finding the Third Proportional to 269,672 and 599,203

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Solution

The third proportional to 269,672 and 599,203 is: 1,331,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,672 : 599,203 = 599,203 : x
  2. Step 2: Convert to fraction form
    269,672/599,203 = 599,203/x
  3. Step 3: Cross multiply
    269,672x = 599,203 × 599,203
  4. Step 4: Simplify right side
    269,672x = 359,044,235,209
  5. Step 5: Solve for x
    x = 359,044,235,209/269,672
  6. Step 6: Final answer
    x = 1,331,410.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.