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Finding the Third Proportional to 302,892 and 475,176

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Solution

The third proportional to 302,892 and 475,176 is: 745,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892 : 475,176 = 475,176 : x
  2. Step 2: Convert to fraction form
    302,892/475,176 = 475,176/x
  3. Step 3: Cross multiply
    302,892x = 475,176 × 475,176
  4. Step 4: Simplify right side
    302,892x = 225,792,230,976
  5. Step 5: Solve for x
    x = 225,792,230,976/302,892
  6. Step 6: Final answer
    x = 745,454.59

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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.