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Finding the Third Proportional to 246,656 and 512,750

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Solution

The third proportional to 246,656 and 512,750 is: 1,065,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,656 : 512,750 = 512,750 : x
  2. Step 2: Convert to fraction form
    246,656/512,750 = 512,750/x
  3. Step 3: Cross multiply
    246,656x = 512,750 × 512,750
  4. Step 4: Simplify right side
    246,656x = 262,912,562,500
  5. Step 5: Solve for x
    x = 262,912,562,500/246,656
  6. Step 6: Final answer
    x = 1,065,907.83

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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.