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Finding the Third Proportional to 459,330.75 and 979,593.75

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Solution

The third proportional to 459,330.75 and 979,593.75 is: 2,089,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,330.75 : 979,593.75 = 979,593.75 : x
  2. Step 2: Convert to fraction form
    459,330.75/979,593.75 = 979,593.75/x
  3. Step 3: Cross multiply
    459,330.75x = 979,593.75 × 979,593.75
  4. Step 4: Simplify right side
    459,330.75x = 959,603,915,039.06
  5. Step 5: Solve for x
    x = 959,603,915,039.06/459,330.75
  6. Step 6: Final answer
    x = 2,089,134.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.