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Finding the Third Proportional to 426,856.50 and 988,224.75

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Solution

The third proportional to 426,856.50 and 988,224.75 is: 2,287,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,856.50 : 988,224.75 = 988,224.75 : x
  2. Step 2: Convert to fraction form
    426,856.50/988,224.75 = 988,224.75/x
  3. Step 3: Cross multiply
    426,856.50x = 988,224.75 × 988,224.75
  4. Step 4: Simplify right side
    426,856.50x = 976,588,156,512.56
  5. Step 5: Solve for x
    x = 976,588,156,512.56/426,856.50
  6. Step 6: Final answer
    x = 2,287,860.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.