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Finding the Third Proportional to 246,732 and 531,876

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Solution

The third proportional to 246,732 and 531,876 is: 1,146,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,732 : 531,876 = 531,876 : x
  2. Step 2: Convert to fraction form
    246,732/531,876 = 531,876/x
  3. Step 3: Cross multiply
    246,732x = 531,876 × 531,876
  4. Step 4: Simplify right side
    246,732x = 282,892,079,376
  5. Step 5: Solve for x
    x = 282,892,079,376/246,732
  6. Step 6: Final answer
    x = 1,146,556.10

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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.