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Finding the Third Proportional to 244,014 and 389,621

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Solution

The third proportional to 244,014 and 389,621 is: 622,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,014 : 389,621 = 389,621 : x
  2. Step 2: Convert to fraction form
    244,014/389,621 = 389,621/x
  3. Step 3: Cross multiply
    244,014x = 389,621 × 389,621
  4. Step 4: Simplify right side
    244,014x = 151,804,523,641
  5. Step 5: Solve for x
    x = 151,804,523,641/244,014
  6. Step 6: Final answer
    x = 622,113.99

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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.