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Finding the Third Proportional to 245,295 and 543,051

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Solution

The third proportional to 245,295 and 543,051 is: 1,202,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,295 : 543,051 = 543,051 : x
  2. Step 2: Convert to fraction form
    245,295/543,051 = 543,051/x
  3. Step 3: Cross multiply
    245,295x = 543,051 × 543,051
  4. Step 4: Simplify right side
    245,295x = 294,904,388,601
  5. Step 5: Solve for x
    x = 294,904,388,601/245,295
  6. Step 6: Final answer
    x = 1,202,243.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.