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Finding the Third Proportional to 542,202.75 and 1,177,743.38

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Solution

The third proportional to 542,202.75 and 1,177,743.38 is: 2,558,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,202.75 : 1,177,743.38 = 1,177,743.38 : x
  2. Step 2: Convert to fraction form
    542,202.75/1,177,743.38 = 1,177,743.38/x
  3. Step 3: Cross multiply
    542,202.75x = 1,177,743.38 × 1,177,743.38
  4. Step 4: Simplify right side
    542,202.75x = 1,387,079,457,356.39
  5. Step 5: Solve for x
    x = 1,387,079,457,356.39/542,202.75
  6. Step 6: Final answer
    x = 2,558,230.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.