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Finding the Third Proportional to 267,737 and 563,086

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Solution

The third proportional to 267,737 and 563,086 is: 1,184,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,737 : 563,086 = 563,086 : x
  2. Step 2: Convert to fraction form
    267,737/563,086 = 563,086/x
  3. Step 3: Cross multiply
    267,737x = 563,086 × 563,086
  4. Step 4: Simplify right side
    267,737x = 317,065,843,396
  5. Step 5: Solve for x
    x = 317,065,843,396/267,737
  6. Step 6: Final answer
    x = 1,184,243.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.