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Finding the Third Proportional to 189,956 and 410,360

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Solution

The third proportional to 189,956 and 410,360 is: 886,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,956 : 410,360 = 410,360 : x
  2. Step 2: Convert to fraction form
    189,956/410,360 = 410,360/x
  3. Step 3: Cross multiply
    189,956x = 410,360 × 410,360
  4. Step 4: Simplify right side
    189,956x = 168,395,329,600
  5. Step 5: Solve for x
    x = 168,395,329,600/189,956
  6. Step 6: Final answer
    x = 886,496.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.