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Finding the Third Proportional to 301.22 and 654.01

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Solution

The third proportional to 301.22 and 654.01 is: 1,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.22 : 654.01 = 654.01 : x
  2. Step 2: Convert to fraction form
    301.22/654.01 = 654.01/x
  3. Step 3: Cross multiply
    301.22x = 654.01 × 654.01
  4. Step 4: Simplify right side
    301.22x = 427,731.33
  5. Step 5: Solve for x
    x = 427,731.33/301.22
  6. Step 6: Final answer
    x = 1,420.00

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