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Finding the Third Proportional to 189,383.63 and 414,397.13

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Solution

The third proportional to 189,383.63 and 414,397.13 is: 906,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383.63 : 414,397.13 = 414,397.13 : x
  2. Step 2: Convert to fraction form
    189,383.63/414,397.13 = 414,397.13/x
  3. Step 3: Cross multiply
    189,383.63x = 414,397.13 × 414,397.13
  4. Step 4: Simplify right side
    189,383.63x = 171,724,977,208.27
  5. Step 5: Solve for x
    x = 171,724,977,208.27/189,383.63
  6. Step 6: Final answer
    x = 906,757.26

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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.