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Finding the Third Proportional to 379,718 and 534,047

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Solution

The third proportional to 379,718 and 534,047 is: 751,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,718 : 534,047 = 534,047 : x
  2. Step 2: Convert to fraction form
    379,718/534,047 = 534,047/x
  3. Step 3: Cross multiply
    379,718x = 534,047 × 534,047
  4. Step 4: Simplify right side
    379,718x = 285,206,198,209
  5. Step 5: Solve for x
    x = 285,206,198,209/379,718
  6. Step 6: Final answer
    x = 751,100.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.