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Finding the Third Proportional to 307,551 and 661,086

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Solution

The third proportional to 307,551 and 661,086 is: 1,421,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,551 : 661,086 = 661,086 : x
  2. Step 2: Convert to fraction form
    307,551/661,086 = 661,086/x
  3. Step 3: Cross multiply
    307,551x = 661,086 × 661,086
  4. Step 4: Simplify right side
    307,551x = 437,034,699,396
  5. Step 5: Solve for x
    x = 437,034,699,396/307,551
  6. Step 6: Final answer
    x = 1,421,015.37

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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.