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Finding the Third Proportional to 246,978 and 539,622

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Solution

The third proportional to 246,978 and 539,622 is: 1,179,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,978 : 539,622 = 539,622 : x
  2. Step 2: Convert to fraction form
    246,978/539,622 = 539,622/x
  3. Step 3: Cross multiply
    246,978x = 539,622 × 539,622
  4. Step 4: Simplify right side
    246,978x = 291,191,902,884
  5. Step 5: Solve for x
    x = 291,191,902,884/246,978
  6. Step 6: Final answer
    x = 1,179,019.60

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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.