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Finding the Third Proportional to 189,602 and 414,916

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Solution

The third proportional to 189,602 and 414,916 is: 907,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,602 : 414,916 = 414,916 : x
  2. Step 2: Convert to fraction form
    189,602/414,916 = 414,916/x
  3. Step 3: Cross multiply
    189,602x = 414,916 × 414,916
  4. Step 4: Simplify right side
    189,602x = 172,155,287,056
  5. Step 5: Solve for x
    x = 172,155,287,056/189,602
  6. Step 6: Final answer
    x = 907,982.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.