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Finding the Third Proportional to 343,635 and 755,023.50

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Solution

The third proportional to 343,635 and 755,023.50 is: 1,658,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,635 : 755,023.50 = 755,023.50 : x
  2. Step 2: Convert to fraction form
    343,635/755,023.50 = 755,023.50/x
  3. Step 3: Cross multiply
    343,635x = 755,023.50 × 755,023.50
  4. Step 4: Simplify right side
    343,635x = 570,060,485,552.25
  5. Step 5: Solve for x
    x = 570,060,485,552.25/343,635
  6. Step 6: Final answer
    x = 1,658,912.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.