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Finding the Third Proportional to 185,892 and 407,424

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Solution

The third proportional to 185,892 and 407,424 is: 892,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892 : 407,424 = 407,424 : x
  2. Step 2: Convert to fraction form
    185,892/407,424 = 407,424/x
  3. Step 3: Cross multiply
    185,892x = 407,424 × 407,424
  4. Step 4: Simplify right side
    185,892x = 165,994,315,776
  5. Step 5: Solve for x
    x = 165,994,315,776/185,892
  6. Step 6: Final answer
    x = 892,961.05

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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.