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Finding the Third Proportional to 269,670 and 599,199

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Solution

The third proportional to 269,670 and 599,199 is: 1,331,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,670 : 599,199 = 599,199 : x
  2. Step 2: Convert to fraction form
    269,670/599,199 = 599,199/x
  3. Step 3: Cross multiply
    269,670x = 599,199 × 599,199
  4. Step 4: Simplify right side
    269,670x = 359,039,441,601
  5. Step 5: Solve for x
    x = 359,039,441,601/269,670
  6. Step 6: Final answer
    x = 1,331,402.98

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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.