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Finding the Third Proportional to 247,804 and 543,032

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Solution

The third proportional to 247,804 and 543,032 is: 1,189,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,804 : 543,032 = 543,032 : x
  2. Step 2: Convert to fraction form
    247,804/543,032 = 543,032/x
  3. Step 3: Cross multiply
    247,804x = 543,032 × 543,032
  4. Step 4: Simplify right side
    247,804x = 294,883,753,024
  5. Step 5: Solve for x
    x = 294,883,753,024/247,804
  6. Step 6: Final answer
    x = 1,189,987.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.