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Finding the Third Proportional to 280,086 and 614,595

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Solution

The third proportional to 280,086 and 614,595 is: 1,348,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,086 : 614,595 = 614,595 : x
  2. Step 2: Convert to fraction form
    280,086/614,595 = 614,595/x
  3. Step 3: Cross multiply
    280,086x = 614,595 × 614,595
  4. Step 4: Simplify right side
    280,086x = 377,727,014,025
  5. Step 5: Solve for x
    x = 377,727,014,025/280,086
  6. Step 6: Final answer
    x = 1,348,610.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.