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Finding the Third Proportional to 384,449 and 898,245

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Solution

The third proportional to 384,449 and 898,245 is: 2,098,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,449 : 898,245 = 898,245 : x
  2. Step 2: Convert to fraction form
    384,449/898,245 = 898,245/x
  3. Step 3: Cross multiply
    384,449x = 898,245 × 898,245
  4. Step 4: Simplify right side
    384,449x = 806,844,080,025
  5. Step 5: Solve for x
    x = 806,844,080,025/384,449
  6. Step 6: Final answer
    x = 2,098,702.51

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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.