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Finding the Third Proportional to 433.55 and 670.22

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Solution

The third proportional to 433.55 and 670.22 is: 1,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.55 : 670.22 = 670.22 : x
  2. Step 2: Convert to fraction form
    433.55/670.22 = 670.22/x
  3. Step 3: Cross multiply
    433.55x = 670.22 × 670.22
  4. Step 4: Simplify right side
    433.55x = 449,193.17
  5. Step 5: Solve for x
    x = 449,193.17/433.55
  6. Step 6: Final answer
    x = 1,036.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.