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Finding the Third Proportional to 465.19 and 757.69

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Solution

The third proportional to 465.19 and 757.69 is: 1,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 757.69 = 757.69 : x
  2. Step 2: Convert to fraction form
    465.19/757.69 = 757.69/x
  3. Step 3: Cross multiply
    465.19x = 757.69 × 757.69
  4. Step 4: Simplify right side
    465.19x = 574,090.35
  5. Step 5: Solve for x
    x = 574,090.35/465.19
  6. Step 6: Final answer
    x = 1,234.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.