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Finding the Third Proportional to 277,586 and 415,620

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Solution

The third proportional to 277,586 and 415,620 is: 622,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,586 : 415,620 = 415,620 : x
  2. Step 2: Convert to fraction form
    277,586/415,620 = 415,620/x
  3. Step 3: Cross multiply
    277,586x = 415,620 × 415,620
  4. Step 4: Simplify right side
    277,586x = 172,739,984,400
  5. Step 5: Solve for x
    x = 172,739,984,400/277,586
  6. Step 6: Final answer
    x = 622,293.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.