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Finding the Third Proportional to 386,483 and 534,034

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Solution

The third proportional to 386,483 and 534,034 is: 737,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,483 : 534,034 = 534,034 : x
  2. Step 2: Convert to fraction form
    386,483/534,034 = 534,034/x
  3. Step 3: Cross multiply
    386,483x = 534,034 × 534,034
  4. Step 4: Simplify right side
    386,483x = 285,192,313,156
  5. Step 5: Solve for x
    x = 285,192,313,156/386,483
  6. Step 6: Final answer
    x = 737,916.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.