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Finding the Third Proportional to 277,536.38 and 415,173.09

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Solution

The third proportional to 277,536.38 and 415,173.09 is: 621,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,536.38 : 415,173.09 = 415,173.09 : x
  2. Step 2: Convert to fraction form
    277,536.38/415,173.09 = 415,173.09/x
  3. Step 3: Cross multiply
    277,536.38x = 415,173.09 × 415,173.09
  4. Step 4: Simplify right side
    277,536.38x = 172,368,697,773.95
  5. Step 5: Solve for x
    x = 172,368,697,773.95/277,536.38
  6. Step 6: Final answer
    x = 621,067.05

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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.