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Finding the Third Proportional to 394,770 and 599,540

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Solution

The third proportional to 394,770 and 599,540 is: 910,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,770 : 599,540 = 599,540 : x
  2. Step 2: Convert to fraction form
    394,770/599,540 = 599,540/x
  3. Step 3: Cross multiply
    394,770x = 599,540 × 599,540
  4. Step 4: Simplify right side
    394,770x = 359,448,211,600
  5. Step 5: Solve for x
    x = 359,448,211,600/394,770
  6. Step 6: Final answer
    x = 910,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.