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Finding the Third Proportional to 246,717 and 512,826

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Solution

The third proportional to 246,717 and 512,826 is: 1,065,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,717 : 512,826 = 512,826 : x
  2. Step 2: Convert to fraction form
    246,717/512,826 = 512,826/x
  3. Step 3: Cross multiply
    246,717x = 512,826 × 512,826
  4. Step 4: Simplify right side
    246,717x = 262,990,506,276
  5. Step 5: Solve for x
    x = 262,990,506,276/246,717
  6. Step 6: Final answer
    x = 1,065,960.21

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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.