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Finding the Third Proportional to 277,278.50 and 414,069.75

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Solution

The third proportional to 277,278.50 and 414,069.75 is: 618,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,278.50 : 414,069.75 = 414,069.75 : x
  2. Step 2: Convert to fraction form
    277,278.50/414,069.75 = 414,069.75/x
  3. Step 3: Cross multiply
    277,278.50x = 414,069.75 × 414,069.75
  4. Step 4: Simplify right side
    277,278.50x = 171,453,757,865.06
  5. Step 5: Solve for x
    x = 171,453,757,865.06/277,278.50
  6. Step 6: Final answer
    x = 618,344.94

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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.