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Finding the Third Proportional to 246,578 and 361,083

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Solution

The third proportional to 246,578 and 361,083 is: 528,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,578 : 361,083 = 361,083 : x
  2. Step 2: Convert to fraction form
    246,578/361,083 = 361,083/x
  3. Step 3: Cross multiply
    246,578x = 361,083 × 361,083
  4. Step 4: Simplify right side
    246,578x = 130,380,932,889
  5. Step 5: Solve for x
    x = 130,380,932,889/246,578
  6. Step 6: Final answer
    x = 528,761.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.