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Finding the Third Proportional to 435.06 and 906.82

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Solution

The third proportional to 435.06 and 906.82 is: 1,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 906.82 = 906.82 : x
  2. Step 2: Convert to fraction form
    435.06/906.82 = 906.82/x
  3. Step 3: Cross multiply
    435.06x = 906.82 × 906.82
  4. Step 4: Simplify right side
    435.06x = 822,323.08
  5. Step 5: Solve for x
    x = 822,323.08/435.06
  6. Step 6: Final answer
    x = 1,890.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.