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Finding the Third Proportional to 424,249.75 and 927,811.50

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Solution

The third proportional to 424,249.75 and 927,811.50 is: 2,029,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,249.75 : 927,811.50 = 927,811.50 : x
  2. Step 2: Convert to fraction form
    424,249.75/927,811.50 = 927,811.50/x
  3. Step 3: Cross multiply
    424,249.75x = 927,811.50 × 927,811.50
  4. Step 4: Simplify right side
    424,249.75x = 860,834,179,532.25
  5. Step 5: Solve for x
    x = 860,834,179,532.25/424,249.75
  6. Step 6: Final answer
    x = 2,029,074.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.