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Finding the Third Proportional to 277,149 and 446,350.50

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Solution

The third proportional to 277,149 and 446,350.50 is: 718,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,149 : 446,350.50 = 446,350.50 : x
  2. Step 2: Convert to fraction form
    277,149/446,350.50 = 446,350.50/x
  3. Step 3: Cross multiply
    277,149x = 446,350.50 × 446,350.50
  4. Step 4: Simplify right side
    277,149x = 199,228,768,850.25
  5. Step 5: Solve for x
    x = 199,228,768,850.25/277,149
  6. Step 6: Final answer
    x = 718,850.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.