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Finding the Third Proportional to 248,834 and 377,859

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Solution

The third proportional to 248,834 and 377,859 is: 573,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,834 : 377,859 = 377,859 : x
  2. Step 2: Convert to fraction form
    248,834/377,859 = 377,859/x
  3. Step 3: Cross multiply
    248,834x = 377,859 × 377,859
  4. Step 4: Simplify right side
    248,834x = 142,777,423,881
  5. Step 5: Solve for x
    x = 142,777,423,881/248,834
  6. Step 6: Final answer
    x = 573,785.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.