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Finding the Third Proportional to 307,544 and 661,072

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Solution

The third proportional to 307,544 and 661,072 is: 1,420,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,544 : 661,072 = 661,072 : x
  2. Step 2: Convert to fraction form
    307,544/661,072 = 661,072/x
  3. Step 3: Cross multiply
    307,544x = 661,072 × 661,072
  4. Step 4: Simplify right side
    307,544x = 437,016,189,184
  5. Step 5: Solve for x
    x = 437,016,189,184/307,544
  6. Step 6: Final answer
    x = 1,420,987.53

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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.