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Finding the Third Proportional to 435.52 and 919.55

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Solution

The third proportional to 435.52 and 919.55 is: 1,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 919.55 = 919.55 : x
  2. Step 2: Convert to fraction form
    435.52/919.55 = 919.55/x
  3. Step 3: Cross multiply
    435.52x = 919.55 × 919.55
  4. Step 4: Simplify right side
    435.52x = 845,566.46
  5. Step 5: Solve for x
    x = 845,566.46/435.52
  6. Step 6: Final answer
    x = 1,941.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.