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Finding the Third Proportional to 189,844 and 417,584

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Solution

The third proportional to 189,844 and 417,584 is: 918,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,844 : 417,584 = 417,584 : x
  2. Step 2: Convert to fraction form
    189,844/417,584 = 417,584/x
  3. Step 3: Cross multiply
    189,844x = 417,584 × 417,584
  4. Step 4: Simplify right side
    189,844x = 174,376,397,056
  5. Step 5: Solve for x
    x = 174,376,397,056/189,844
  6. Step 6: Final answer
    x = 918,524.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.