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Finding the Third Proportional to 189,532 and 408,586

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Solution

The third proportional to 189,532 and 408,586 is: 880,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,532 : 408,586 = 408,586 : x
  2. Step 2: Convert to fraction form
    189,532/408,586 = 408,586/x
  3. Step 3: Cross multiply
    189,532x = 408,586 × 408,586
  4. Step 4: Simplify right side
    189,532x = 166,942,519,396
  5. Step 5: Solve for x
    x = 166,942,519,396/189,532
  6. Step 6: Final answer
    x = 880,814.42

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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.