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Finding the Third Proportional to 298,301,198 and 703,178,861

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Solution

The third proportional to 298,301,198 and 703,178,861 is: 1,657,588,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,301,198 : 703,178,861 = 703,178,861 : x
  2. Step 2: Convert to fraction form
    298,301,198/703,178,861 = 703,178,861/x
  3. Step 3: Cross multiply
    298,301,198x = 703,178,861 × 703,178,861
  4. Step 4: Simplify right side
    298,301,198x = 494,460,510,557,257,344
  5. Step 5: Solve for x
    x = 494,460,510,557,257,344/298,301,198
  6. Step 6: Final answer
    x = 1,657,588,081.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.