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Finding the Third Proportional to 246,254 and 539,214

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Solution

The third proportional to 246,254 and 539,214 is: 1,180,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,254 : 539,214 = 539,214 : x
  2. Step 2: Convert to fraction form
    246,254/539,214 = 539,214/x
  3. Step 3: Cross multiply
    246,254x = 539,214 × 539,214
  4. Step 4: Simplify right side
    246,254x = 290,751,737,796
  5. Step 5: Solve for x
    x = 290,751,737,796/246,254
  6. Step 6: Final answer
    x = 1,180,698.54

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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.