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Finding the Third Proportional to 277,962 and 606,903

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Solution

The third proportional to 277,962 and 606,903 is: 1,325,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,962 : 606,903 = 606,903 : x
  2. Step 2: Convert to fraction form
    277,962/606,903 = 606,903/x
  3. Step 3: Cross multiply
    277,962x = 606,903 × 606,903
  4. Step 4: Simplify right side
    277,962x = 368,331,251,409
  5. Step 5: Solve for x
    x = 368,331,251,409/277,962
  6. Step 6: Final answer
    x = 1,325,113.69

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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.