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Finding the Third Proportional to 246,600 and 538,860

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Solution

The third proportional to 246,600 and 538,860 is: 1,177,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,600 : 538,860 = 538,860 : x
  2. Step 2: Convert to fraction form
    246,600/538,860 = 538,860/x
  3. Step 3: Cross multiply
    246,600x = 538,860 × 538,860
  4. Step 4: Simplify right side
    246,600x = 290,370,099,600
  5. Step 5: Solve for x
    x = 290,370,099,600/246,600
  6. Step 6: Final answer
    x = 1,177,494.32

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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.