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Finding the Third Proportional to 302,890 and 475,174

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Solution

The third proportional to 302,890 and 475,174 is: 745,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,890 : 475,174 = 475,174 : x
  2. Step 2: Convert to fraction form
    302,890/475,174 = 475,174/x
  3. Step 3: Cross multiply
    302,890x = 475,174 × 475,174
  4. Step 4: Simplify right side
    302,890x = 225,790,330,276
  5. Step 5: Solve for x
    x = 225,790,330,276/302,890
  6. Step 6: Final answer
    x = 745,453.23

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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.