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Finding the Third Proportional to 257,566 and 394,006

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Solution

The third proportional to 257,566 and 394,006 is: 602,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,566 : 394,006 = 394,006 : x
  2. Step 2: Convert to fraction form
    257,566/394,006 = 394,006/x
  3. Step 3: Cross multiply
    257,566x = 394,006 × 394,006
  4. Step 4: Simplify right side
    257,566x = 155,240,728,036
  5. Step 5: Solve for x
    x = 155,240,728,036/257,566
  6. Step 6: Final answer
    x = 602,722.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.