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Finding the Third Proportional to 439,407 and 659,112.75

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Solution

The third proportional to 439,407 and 659,112.75 is: 988,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,407 : 659,112.75 = 659,112.75 : x
  2. Step 2: Convert to fraction form
    439,407/659,112.75 = 659,112.75/x
  3. Step 3: Cross multiply
    439,407x = 659,112.75 × 659,112.75
  4. Step 4: Simplify right side
    439,407x = 434,429,617,212.56
  5. Step 5: Solve for x
    x = 434,429,617,212.56/439,407
  6. Step 6: Final answer
    x = 988,672.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.