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Finding the Third Proportional to 263,877 and 576,142.50

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Solution

The third proportional to 263,877 and 576,142.50 is: 1,257,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,877 : 576,142.50 = 576,142.50 : x
  2. Step 2: Convert to fraction form
    263,877/576,142.50 = 576,142.50/x
  3. Step 3: Cross multiply
    263,877x = 576,142.50 × 576,142.50
  4. Step 4: Simplify right side
    263,877x = 331,940,180,306.25
  5. Step 5: Solve for x
    x = 331,940,180,306.25/263,877
  6. Step 6: Final answer
    x = 1,257,935.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.