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Finding the Third Proportional to 416,359.50 and 894,672

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Solution

The third proportional to 416,359.50 and 894,672 is: 1,922,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,359.50 : 894,672 = 894,672 : x
  2. Step 2: Convert to fraction form
    416,359.50/894,672 = 894,672/x
  3. Step 3: Cross multiply
    416,359.50x = 894,672 × 894,672
  4. Step 4: Simplify right side
    416,359.50x = 800,437,987,584
  5. Step 5: Solve for x
    x = 800,437,987,584/416,359.50
  6. Step 6: Final answer
    x = 1,922,468.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.