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Finding the Third Proportional to 302,892 and 475,177

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Solution

The third proportional to 302,892 and 475,177 is: 745,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892 : 475,177 = 475,177 : x
  2. Step 2: Convert to fraction form
    302,892/475,177 = 475,177/x
  3. Step 3: Cross multiply
    302,892x = 475,177 × 475,177
  4. Step 4: Simplify right side
    302,892x = 225,793,181,329
  5. Step 5: Solve for x
    x = 225,793,181,329/302,892
  6. Step 6: Final answer
    x = 745,457.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.