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Finding the Third Proportional to 246,566 and 531,112

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Solution

The third proportional to 246,566 and 531,112 is: 1,144,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,566 : 531,112 = 531,112 : x
  2. Step 2: Convert to fraction form
    246,566/531,112 = 531,112/x
  3. Step 3: Cross multiply
    246,566x = 531,112 × 531,112
  4. Step 4: Simplify right side
    246,566x = 282,079,956,544
  5. Step 5: Solve for x
    x = 282,079,956,544/246,566
  6. Step 6: Final answer
    x = 1,144,034.28

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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.