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Finding the Third Proportional to 307,165.50 and 661,743

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Solution

The third proportional to 307,165.50 and 661,743 is: 1,425,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,165.50 : 661,743 = 661,743 : x
  2. Step 2: Convert to fraction form
    307,165.50/661,743 = 661,743/x
  3. Step 3: Cross multiply
    307,165.50x = 661,743 × 661,743
  4. Step 4: Simplify right side
    307,165.50x = 437,903,798,049
  5. Step 5: Solve for x
    x = 437,903,798,049/307,165.50
  6. Step 6: Final answer
    x = 1,425,628.20

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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.