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Finding the Third Proportional to 263,988 and 378,300.38

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Solution

The third proportional to 263,988 and 378,300.38 is: 542,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,988 : 378,300.38 = 378,300.38 : x
  2. Step 2: Convert to fraction form
    263,988/378,300.38 = 378,300.38/x
  3. Step 3: Cross multiply
    263,988x = 378,300.38 × 378,300.38
  4. Step 4: Simplify right side
    263,988x = 143,111,173,725.14
  5. Step 5: Solve for x
    x = 143,111,173,725.14/263,988
  6. Step 6: Final answer
    x = 542,112.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.