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Finding the Third Proportional to 830.67 and 1,804.36

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Solution

The third proportional to 830.67 and 1,804.36 is: 3,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,804.36 = 1,804.36 : x
  2. Step 2: Convert to fraction form
    830.67/1,804.36 = 1,804.36/x
  3. Step 3: Cross multiply
    830.67x = 1,804.36 × 1,804.36
  4. Step 4: Simplify right side
    830.67x = 3,255,712.75
  5. Step 5: Solve for x
    x = 3,255,712.75/830.67
  6. Step 6: Final answer
    x = 3,919.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.