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Finding the Third Proportional to 277,815 and 414,892

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Solution

The third proportional to 277,815 and 414,892 is: 619,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,815 : 414,892 = 414,892 : x
  2. Step 2: Convert to fraction form
    277,815/414,892 = 414,892/x
  3. Step 3: Cross multiply
    277,815x = 414,892 × 414,892
  4. Step 4: Simplify right side
    277,815x = 172,135,371,664
  5. Step 5: Solve for x
    x = 172,135,371,664/277,815
  6. Step 6: Final answer
    x = 619,604.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.