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Finding the Third Proportional to 189,526 and 408,575

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Solution

The third proportional to 189,526 and 408,575 is: 880,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,526 : 408,575 = 408,575 : x
  2. Step 2: Convert to fraction form
    189,526/408,575 = 408,575/x
  3. Step 3: Cross multiply
    189,526x = 408,575 × 408,575
  4. Step 4: Simplify right side
    189,526x = 166,933,530,625
  5. Step 5: Solve for x
    x = 166,933,530,625/189,526
  6. Step 6: Final answer
    x = 880,794.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.