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Finding the Third Proportional to 246,296 and 531,472

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Solution

The third proportional to 246,296 and 531,472 is: 1,146,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,296 : 531,472 = 531,472 : x
  2. Step 2: Convert to fraction form
    246,296/531,472 = 531,472/x
  3. Step 3: Cross multiply
    246,296x = 531,472 × 531,472
  4. Step 4: Simplify right side
    246,296x = 282,462,486,784
  5. Step 5: Solve for x
    x = 282,462,486,784/246,296
  6. Step 6: Final answer
    x = 1,146,841.55

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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.