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Finding the Third Proportional to 277,825.50 and 415,093.50

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Solution

The third proportional to 277,825.50 and 415,093.50 is: 620,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,825.50 : 415,093.50 = 415,093.50 : x
  2. Step 2: Convert to fraction form
    277,825.50/415,093.50 = 415,093.50/x
  3. Step 3: Cross multiply
    277,825.50x = 415,093.50 × 415,093.50
  4. Step 4: Simplify right side
    277,825.50x = 172,302,613,742.25
  5. Step 5: Solve for x
    x = 172,302,613,742.25/277,825.50
  6. Step 6: Final answer
    x = 620,182.86

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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.