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Finding the Third Proportional to 246,698 and 531,462

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Solution

The third proportional to 246,698 and 531,462 is: 1,144,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,698 : 531,462 = 531,462 : x
  2. Step 2: Convert to fraction form
    246,698/531,462 = 531,462/x
  3. Step 3: Cross multiply
    246,698x = 531,462 × 531,462
  4. Step 4: Simplify right side
    246,698x = 282,451,857,444
  5. Step 5: Solve for x
    x = 282,451,857,444/246,698
  6. Step 6: Final answer
    x = 1,144,929.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.