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Finding the Third Proportional to 185,844 and 407,274

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Solution

The third proportional to 185,844 and 407,274 is: 892,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,844 : 407,274 = 407,274 : x
  2. Step 2: Convert to fraction form
    185,844/407,274 = 407,274/x
  3. Step 3: Cross multiply
    185,844x = 407,274 × 407,274
  4. Step 4: Simplify right side
    185,844x = 165,872,111,076
  5. Step 5: Solve for x
    x = 165,872,111,076/185,844
  6. Step 6: Final answer
    x = 892,534.12

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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.