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Finding the Third Proportional to 189,849 and 417,591

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Solution

The third proportional to 189,849 and 417,591 is: 918,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,849 : 417,591 = 417,591 : x
  2. Step 2: Convert to fraction form
    189,849/417,591 = 417,591/x
  3. Step 3: Cross multiply
    189,849x = 417,591 × 417,591
  4. Step 4: Simplify right side
    189,849x = 174,382,243,281
  5. Step 5: Solve for x
    x = 174,382,243,281/189,849
  6. Step 6: Final answer
    x = 918,531.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.