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Finding the Third Proportional to 363,599 and 849,218

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Solution

The third proportional to 363,599 and 849,218 is: 1,983,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,599 : 849,218 = 849,218 : x
  2. Step 2: Convert to fraction form
    363,599/849,218 = 849,218/x
  3. Step 3: Cross multiply
    363,599x = 849,218 × 849,218
  4. Step 4: Simplify right side
    363,599x = 721,171,211,524
  5. Step 5: Solve for x
    x = 721,171,211,524/363,599
  6. Step 6: Final answer
    x = 1,983,424.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.