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Finding the Third Proportional to 276,778.69 and 599,460.75

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Solution

The third proportional to 276,778.69 and 599,460.75 is: 1,298,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,778.69 : 599,460.75 = 599,460.75 : x
  2. Step 2: Convert to fraction form
    276,778.69/599,460.75 = 599,460.75/x
  3. Step 3: Cross multiply
    276,778.69x = 599,460.75 × 599,460.75
  4. Step 4: Simplify right side
    276,778.69x = 359,353,190,790.56
  5. Step 5: Solve for x
    x = 359,353,190,790.56/276,778.69
  6. Step 6: Final answer
    x = 1,298,341.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.