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Finding the Third Proportional to 303,843 and 662,357

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Solution

The third proportional to 303,843 and 662,357 is: 1,443,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,843 : 662,357 = 662,357 : x
  2. Step 2: Convert to fraction form
    303,843/662,357 = 662,357/x
  3. Step 3: Cross multiply
    303,843x = 662,357 × 662,357
  4. Step 4: Simplify right side
    303,843x = 438,716,795,449
  5. Step 5: Solve for x
    x = 438,716,795,449/303,843
  6. Step 6: Final answer
    x = 1,443,893.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.