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Finding the Third Proportional to 263,007 and 376,072.88

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Solution

The third proportional to 263,007 and 376,072.88 is: 537,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,007 : 376,072.88 = 376,072.88 : x
  2. Step 2: Convert to fraction form
    263,007/376,072.88 = 376,072.88/x
  3. Step 3: Cross multiply
    263,007x = 376,072.88 × 376,072.88
  4. Step 4: Simplify right side
    263,007x = 141,430,807,310.77
  5. Step 5: Solve for x
    x = 141,430,807,310.77/263,007
  6. Step 6: Final answer
    x = 537,745.41

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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.