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Finding the Third Proportional to 393,783 and 594,279

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Solution

The third proportional to 393,783 and 594,279 is: 896,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,783 : 594,279 = 594,279 : x
  2. Step 2: Convert to fraction form
    393,783/594,279 = 594,279/x
  3. Step 3: Cross multiply
    393,783x = 594,279 × 594,279
  4. Step 4: Simplify right side
    393,783x = 353,167,529,841
  5. Step 5: Solve for x
    x = 353,167,529,841/393,783
  6. Step 6: Final answer
    x = 896,858.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.