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Finding the Third Proportional to 277,488.07 and 415,100.58

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Solution

The third proportional to 277,488.07 and 415,100.58 is: 620,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.07 : 415,100.58 = 415,100.58 : x
  2. Step 2: Convert to fraction form
    277,488.07/415,100.58 = 415,100.58/x
  3. Step 3: Cross multiply
    277,488.07x = 415,100.58 × 415,100.58
  4. Step 4: Simplify right side
    277,488.07x = 172,308,493,456.02
  5. Step 5: Solve for x
    x = 172,308,493,456.02/277,488.07
  6. Step 6: Final answer
    x = 620,958.20

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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.