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Finding the Third Proportional to 302,867 and 475,175

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Solution

The third proportional to 302,867 and 475,175 is: 745,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,867 : 475,175 = 475,175 : x
  2. Step 2: Convert to fraction form
    302,867/475,175 = 475,175/x
  3. Step 3: Cross multiply
    302,867x = 475,175 × 475,175
  4. Step 4: Simplify right side
    302,867x = 225,791,280,625
  5. Step 5: Solve for x
    x = 225,791,280,625/302,867
  6. Step 6: Final answer
    x = 745,512.98

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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.