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Finding the Third Proportional to 416,076.75 and 896,244.75

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Solution

The third proportional to 416,076.75 and 896,244.75 is: 1,930,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.75 : 896,244.75 = 896,244.75 : x
  2. Step 2: Convert to fraction form
    416,076.75/896,244.75 = 896,244.75/x
  3. Step 3: Cross multiply
    416,076.75x = 896,244.75 × 896,244.75
  4. Step 4: Simplify right side
    416,076.75x = 803,254,651,902.56
  5. Step 5: Solve for x
    x = 803,254,651,902.56/416,076.75
  6. Step 6: Final answer
    x = 1,930,544.43

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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.