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Finding the Third Proportional to 416,076.75 and 453,529.13

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Solution

The third proportional to 416,076.75 and 453,529.13 is: 494,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.75 : 453,529.13 = 453,529.13 : x
  2. Step 2: Convert to fraction form
    416,076.75/453,529.13 = 453,529.13/x
  3. Step 3: Cross multiply
    416,076.75x = 453,529.13 × 453,529.13
  4. Step 4: Simplify right side
    416,076.75x = 205,688,667,223.27
  5. Step 5: Solve for x
    x = 205,688,667,223.27/416,076.75
  6. Step 6: Final answer
    x = 494,352.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.