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Finding the Third Proportional to 434 and 764.50

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Solution

The third proportional to 434 and 764.50 is: 1,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 764.50 = 764.50 : x
  2. Step 2: Convert to fraction form
    434/764.50 = 764.50/x
  3. Step 3: Cross multiply
    434x = 764.50 × 764.50
  4. Step 4: Simplify right side
    434x = 584,460.25
  5. Step 5: Solve for x
    x = 584,460.25/434
  6. Step 6: Final answer
    x = 1,346.68

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.