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Finding the Third Proportional to 427,856 and 665,184

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Solution

The third proportional to 427,856 and 665,184 is: 1,034,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,856 : 665,184 = 665,184 : x
  2. Step 2: Convert to fraction form
    427,856/665,184 = 665,184/x
  3. Step 3: Cross multiply
    427,856x = 665,184 × 665,184
  4. Step 4: Simplify right side
    427,856x = 442,469,753,856
  5. Step 5: Solve for x
    x = 442,469,753,856/427,856
  6. Step 6: Final answer
    x = 1,034,155.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.