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Finding the Third Proportional to 832.99 and 1,928.39

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Solution

The third proportional to 832.99 and 1,928.39 is: 4,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.99 : 1,928.39 = 1,928.39 : x
  2. Step 2: Convert to fraction form
    832.99/1,928.39 = 1,928.39/x
  3. Step 3: Cross multiply
    832.99x = 1,928.39 × 1,928.39
  4. Step 4: Simplify right side
    832.99x = 3,718,690.40
  5. Step 5: Solve for x
    x = 3,718,690.40/832.99
  6. Step 6: Final answer
    x = 4,464.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.