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Finding the Third Proportional to 277,817 and 414,895

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Solution

The third proportional to 277,817 and 414,895 is: 619,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,817 : 414,895 = 414,895 : x
  2. Step 2: Convert to fraction form
    277,817/414,895 = 414,895/x
  3. Step 3: Cross multiply
    277,817x = 414,895 × 414,895
  4. Step 4: Simplify right side
    277,817x = 172,137,861,025
  5. Step 5: Solve for x
    x = 172,137,861,025/277,817
  6. Step 6: Final answer
    x = 619,608.81

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Why These Related Problems?

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