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Finding the Third Proportional to 373,268 and 566,814

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Solution

The third proportional to 373,268 and 566,814 is: 860,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,268 : 566,814 = 566,814 : x
  2. Step 2: Convert to fraction form
    373,268/566,814 = 566,814/x
  3. Step 3: Cross multiply
    373,268x = 566,814 × 566,814
  4. Step 4: Simplify right side
    373,268x = 321,278,110,596
  5. Step 5: Solve for x
    x = 321,278,110,596/373,268
  6. Step 6: Final answer
    x = 860,716.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.