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Finding the Third Proportional to 435.22 and 913.62

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Solution

The third proportional to 435.22 and 913.62 is: 1,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.22 : 913.62 = 913.62 : x
  2. Step 2: Convert to fraction form
    435.22/913.62 = 913.62/x
  3. Step 3: Cross multiply
    435.22x = 913.62 × 913.62
  4. Step 4: Simplify right side
    435.22x = 834,707.07
  5. Step 5: Solve for x
    x = 834,707.07/435.22
  6. Step 6: Final answer
    x = 1,917.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.