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Finding the Third Proportional to 379.50 and 512.63

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Solution

The third proportional to 379.50 and 512.63 is: 692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 512.63 = 512.63 : x
  2. Step 2: Convert to fraction form
    379.50/512.63 = 512.63/x
  3. Step 3: Cross multiply
    379.50x = 512.63 × 512.63
  4. Step 4: Simplify right side
    379.50x = 262,784.39
  5. Step 5: Solve for x
    x = 262,784.39/379.50
  6. Step 6: Final answer
    x = 692.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.