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Finding the Third Proportional to 246,619 and 369,962

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Solution

The third proportional to 246,619 and 369,962 is: 554,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,619 : 369,962 = 369,962 : x
  2. Step 2: Convert to fraction form
    246,619/369,962 = 369,962/x
  3. Step 3: Cross multiply
    246,619x = 369,962 × 369,962
  4. Step 4: Simplify right side
    246,619x = 136,871,881,444
  5. Step 5: Solve for x
    x = 136,871,881,444/246,619
  6. Step 6: Final answer
    x = 554,993.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.