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Finding the Third Proportional to 301,825.50 and 408,450.25

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Solution

The third proportional to 301,825.50 and 408,450.25 is: 552,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,825.50 : 408,450.25 = 408,450.25 : x
  2. Step 2: Convert to fraction form
    301,825.50/408,450.25 = 408,450.25/x
  3. Step 3: Cross multiply
    301,825.50x = 408,450.25 × 408,450.25
  4. Step 4: Simplify right side
    301,825.50x = 166,831,606,725.06
  5. Step 5: Solve for x
    x = 166,831,606,725.06/301,825.50
  6. Step 6: Final answer
    x = 552,741.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.