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Finding the Third Proportional to 189,488 and 414,616

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Solution

The third proportional to 189,488 and 414,616 is: 907,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,488 : 414,616 = 414,616 : x
  2. Step 2: Convert to fraction form
    189,488/414,616 = 414,616/x
  3. Step 3: Cross multiply
    189,488x = 414,616 × 414,616
  4. Step 4: Simplify right side
    189,488x = 171,906,427,456
  5. Step 5: Solve for x
    x = 171,906,427,456/189,488
  6. Step 6: Final answer
    x = 907,215.38

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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.