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Finding the Third Proportional to 189,762 and 410,692

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Solution

The third proportional to 189,762 and 410,692 is: 888,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,762 : 410,692 = 410,692 : x
  2. Step 2: Convert to fraction form
    189,762/410,692 = 410,692/x
  3. Step 3: Cross multiply
    189,762x = 410,692 × 410,692
  4. Step 4: Simplify right side
    189,762x = 168,667,918,864
  5. Step 5: Solve for x
    x = 168,667,918,864/189,762
  6. Step 6: Final answer
    x = 888,839.28

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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.