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Finding the Third Proportional to 189,364 and 412,627

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Solution

The third proportional to 189,364 and 412,627 is: 899,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,364 : 412,627 = 412,627 : x
  2. Step 2: Convert to fraction form
    189,364/412,627 = 412,627/x
  3. Step 3: Cross multiply
    189,364x = 412,627 × 412,627
  4. Step 4: Simplify right side
    189,364x = 170,261,041,129
  5. Step 5: Solve for x
    x = 170,261,041,129/189,364
  6. Step 6: Final answer
    x = 899,120.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.