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Finding the Third Proportional to 602,181 and 825,728

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Solution

The third proportional to 602,181 and 825,728 is: 1,132,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,181 : 825,728 = 825,728 : x
  2. Step 2: Convert to fraction form
    602,181/825,728 = 825,728/x
  3. Step 3: Cross multiply
    602,181x = 825,728 × 825,728
  4. Step 4: Simplify right side
    602,181x = 681,826,729,984
  5. Step 5: Solve for x
    x = 681,826,729,984/602,181
  6. Step 6: Final answer
    x = 1,132,262.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.