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Finding the Third Proportional to 305,910 and 656,107.50

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Solution

The third proportional to 305,910 and 656,107.50 is: 1,407,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910 : 656,107.50 = 656,107.50 : x
  2. Step 2: Convert to fraction form
    305,910/656,107.50 = 656,107.50/x
  3. Step 3: Cross multiply
    305,910x = 656,107.50 × 656,107.50
  4. Step 4: Simplify right side
    305,910x = 430,477,051,556.25
  5. Step 5: Solve for x
    x = 430,477,051,556.25/305,910
  6. Step 6: Final answer
    x = 1,407,201.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.