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Finding the Third Proportional to 345,876.75 and 743,419.69

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Solution

The third proportional to 345,876.75 and 743,419.69 is: 1,597,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,876.75 : 743,419.69 = 743,419.69 : x
  2. Step 2: Convert to fraction form
    345,876.75/743,419.69 = 743,419.69/x
  3. Step 3: Cross multiply
    345,876.75x = 743,419.69 × 743,419.69
  4. Step 4: Simplify right side
    345,876.75x = 552,672,831,762.60
  5. Step 5: Solve for x
    x = 552,672,831,762.60/345,876.75
  6. Step 6: Final answer
    x = 1,597,889.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.