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Finding the Third Proportional to 419,571 and 645,285

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Solution

The third proportional to 419,571 and 645,285 is: 992,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,571 : 645,285 = 645,285 : x
  2. Step 2: Convert to fraction form
    419,571/645,285 = 645,285/x
  3. Step 3: Cross multiply
    419,571x = 645,285 × 645,285
  4. Step 4: Simplify right side
    419,571x = 416,392,731,225
  5. Step 5: Solve for x
    x = 416,392,731,225/419,571
  6. Step 6: Final answer
    x = 992,424.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.