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Finding the Third Proportional to 620.00 and 1,323.21

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Solution

The third proportional to 620.00 and 1,323.21 is: 2,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.00 : 1,323.21 = 1,323.21 : x
  2. Step 2: Convert to fraction form
    620.00/1,323.21 = 1,323.21/x
  3. Step 3: Cross multiply
    620.00x = 1,323.21 × 1,323.21
  4. Step 4: Simplify right side
    620.00x = 1,750,887.19
  5. Step 5: Solve for x
    x = 1,750,887.19/620.00
  6. Step 6: Final answer
    x = 2,824.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.