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Finding the Third Proportional to 394,356 and 610,054

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Solution

The third proportional to 394,356 and 610,054 is: 943,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,356 : 610,054 = 610,054 : x
  2. Step 2: Convert to fraction form
    394,356/610,054 = 610,054/x
  3. Step 3: Cross multiply
    394,356x = 610,054 × 610,054
  4. Step 4: Simplify right side
    394,356x = 372,165,882,916
  5. Step 5: Solve for x
    x = 372,165,882,916/394,356
  6. Step 6: Final answer
    x = 943,730.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.