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Finding the Third Proportional to 394,793 and 589,557

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Solution

The third proportional to 394,793 and 589,557 is: 880,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,793 : 589,557 = 589,557 : x
  2. Step 2: Convert to fraction form
    394,793/589,557 = 589,557/x
  3. Step 3: Cross multiply
    394,793x = 589,557 × 589,557
  4. Step 4: Simplify right side
    394,793x = 347,577,456,249
  5. Step 5: Solve for x
    x = 347,577,456,249/394,793
  6. Step 6: Final answer
    x = 880,404.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.