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Finding the Third Proportional to 394,048 and 609,546

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Solution

The third proportional to 394,048 and 609,546 is: 942,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,048 : 609,546 = 609,546 : x
  2. Step 2: Convert to fraction form
    394,048/609,546 = 609,546/x
  3. Step 3: Cross multiply
    394,048x = 609,546 × 609,546
  4. Step 4: Simplify right side
    394,048x = 371,546,326,116
  5. Step 5: Solve for x
    x = 371,546,326,116/394,048
  6. Step 6: Final answer
    x = 942,896.11

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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.