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Finding the Third Proportional to 273,514.50 and 414,046.50

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Solution

The third proportional to 273,514.50 and 414,046.50 is: 626,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,514.50 : 414,046.50 = 414,046.50 : x
  2. Step 2: Convert to fraction form
    273,514.50/414,046.50 = 414,046.50/x
  3. Step 3: Cross multiply
    273,514.50x = 414,046.50 × 414,046.50
  4. Step 4: Simplify right side
    273,514.50x = 171,434,504,162.25
  5. Step 5: Solve for x
    x = 171,434,504,162.25/273,514.50
  6. Step 6: Final answer
    x = 626,783.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.