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Finding the Third Proportional to 269,657.49 and 599,172.64

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Solution

The third proportional to 269,657.49 and 599,172.64 is: 1,331,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,657.49 : 599,172.64 = 599,172.64 : x
  2. Step 2: Convert to fraction form
    269,657.49/599,172.64 = 599,172.64/x
  3. Step 3: Cross multiply
    269,657.49x = 599,172.64 × 599,172.64
  4. Step 4: Simplify right side
    269,657.49x = 359,007,856,062.09
  5. Step 5: Solve for x
    x = 359,007,856,062.09/269,657.49
  6. Step 6: Final answer
    x = 1,331,347.61

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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.