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Finding the Third Proportional to 189,202 and 413,928

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Solution

The third proportional to 189,202 and 413,928 is: 905,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,202 : 413,928 = 413,928 : x
  2. Step 2: Convert to fraction form
    189,202/413,928 = 413,928/x
  3. Step 3: Cross multiply
    189,202x = 413,928 × 413,928
  4. Step 4: Simplify right side
    189,202x = 171,336,389,184
  5. Step 5: Solve for x
    x = 171,336,389,184/189,202
  6. Step 6: Final answer
    x = 905,573.88

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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.