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Finding the Third Proportional to 368.44 and 501.84

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Solution

The third proportional to 368.44 and 501.84 is: 683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.44 : 501.84 = 501.84 : x
  2. Step 2: Convert to fraction form
    368.44/501.84 = 501.84/x
  3. Step 3: Cross multiply
    368.44x = 501.84 × 501.84
  4. Step 4: Simplify right side
    368.44x = 251,847.15
  5. Step 5: Solve for x
    x = 251,847.15/368.44
  6. Step 6: Final answer
    x = 683.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.