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Finding the Third Proportional to 599,444 and 928,116

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Solution

The third proportional to 599,444 and 928,116 is: 1,436,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,444 : 928,116 = 928,116 : x
  2. Step 2: Convert to fraction form
    599,444/928,116 = 928,116/x
  3. Step 3: Cross multiply
    599,444x = 928,116 × 928,116
  4. Step 4: Simplify right side
    599,444x = 861,399,309,456
  5. Step 5: Solve for x
    x = 861,399,309,456/599,444
  6. Step 6: Final answer
    x = 1,436,997.13

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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.