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Finding the Third Proportional to 512,352 and 770,175

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Solution

The third proportional to 512,352 and 770,175 is: 1,157,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,352 : 770,175 = 770,175 : x
  2. Step 2: Convert to fraction form
    512,352/770,175 = 770,175/x
  3. Step 3: Cross multiply
    512,352x = 770,175 × 770,175
  4. Step 4: Simplify right side
    512,352x = 593,169,530,625
  5. Step 5: Solve for x
    x = 593,169,530,625/512,352
  6. Step 6: Final answer
    x = 1,157,738.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.