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Finding the Third Proportional to 246,660 and 512,758

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Solution

The third proportional to 246,660 and 512,758 is: 1,065,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,660 : 512,758 = 512,758 : x
  2. Step 2: Convert to fraction form
    246,660/512,758 = 512,758/x
  3. Step 3: Cross multiply
    246,660x = 512,758 × 512,758
  4. Step 4: Simplify right side
    246,660x = 262,920,766,564
  5. Step 5: Solve for x
    x = 262,920,766,564/246,660
  6. Step 6: Final answer
    x = 1,065,923.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.