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Finding the Third Proportional to 244,005 and 389,607

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Solution

The third proportional to 244,005 and 389,607 is: 622,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,005 : 389,607 = 389,607 : x
  2. Step 2: Convert to fraction form
    244,005/389,607 = 389,607/x
  3. Step 3: Cross multiply
    244,005x = 389,607 × 389,607
  4. Step 4: Simplify right side
    244,005x = 151,793,614,449
  5. Step 5: Solve for x
    x = 151,793,614,449/244,005
  6. Step 6: Final answer
    x = 622,092.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.