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Finding the Third Proportional to 246,810 and 534,098

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Solution

The third proportional to 246,810 and 534,098 is: 1,155,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,810 : 534,098 = 534,098 : x
  2. Step 2: Convert to fraction form
    246,810/534,098 = 534,098/x
  3. Step 3: Cross multiply
    246,810x = 534,098 × 534,098
  4. Step 4: Simplify right side
    246,810x = 285,260,673,604
  5. Step 5: Solve for x
    x = 285,260,673,604/246,810
  6. Step 6: Final answer
    x = 1,155,790.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.