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Finding the Third Proportional to 189,410.63 and 414,451.13

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Solution

The third proportional to 189,410.63 and 414,451.13 is: 906,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,410.63 : 414,451.13 = 414,451.13 : x
  2. Step 2: Convert to fraction form
    189,410.63/414,451.13 = 414,451.13/x
  3. Step 3: Cross multiply
    189,410.63x = 414,451.13 × 414,451.13
  4. Step 4: Simplify right side
    189,410.63x = 171,769,735,013.77
  5. Step 5: Solve for x
    x = 171,769,735,013.77/189,410.63
  6. Step 6: Final answer
    x = 906,864.31

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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.