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Finding the Third Proportional to 245,024.50 and 394,738

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Solution

The third proportional to 245,024.50 and 394,738 is: 635,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,024.50 : 394,738 = 394,738 : x
  2. Step 2: Convert to fraction form
    245,024.50/394,738 = 394,738/x
  3. Step 3: Cross multiply
    245,024.50x = 394,738 × 394,738
  4. Step 4: Simplify right side
    245,024.50x = 155,818,088,644
  5. Step 5: Solve for x
    x = 155,818,088,644/245,024.50
  6. Step 6: Final answer
    x = 635,928.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.