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Finding the Third Proportional to 298,790 and 642,892

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Solution

The third proportional to 298,790 and 642,892 is: 1,383,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,790 : 642,892 = 642,892 : x
  2. Step 2: Convert to fraction form
    298,790/642,892 = 642,892/x
  3. Step 3: Cross multiply
    298,790x = 642,892 × 642,892
  4. Step 4: Simplify right side
    298,790x = 413,310,123,664
  5. Step 5: Solve for x
    x = 413,310,123,664/298,790
  6. Step 6: Final answer
    x = 1,383,279.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.