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Finding the Third Proportional to 246,686 and 539,024

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Solution

The third proportional to 246,686 and 539,024 is: 1,177,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,686 : 539,024 = 539,024 : x
  2. Step 2: Convert to fraction form
    246,686/539,024 = 539,024/x
  3. Step 3: Cross multiply
    246,686x = 539,024 × 539,024
  4. Step 4: Simplify right side
    246,686x = 290,546,872,576
  5. Step 5: Solve for x
    x = 290,546,872,576/246,686
  6. Step 6: Final answer
    x = 1,177,800.41

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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.