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Finding the Third Proportional to 307,539 and 665,622

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Solution

The third proportional to 307,539 and 665,622 is: 1,440,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,539 : 665,622 = 665,622 : x
  2. Step 2: Convert to fraction form
    307,539/665,622 = 665,622/x
  3. Step 3: Cross multiply
    307,539x = 665,622 × 665,622
  4. Step 4: Simplify right side
    307,539x = 443,052,646,884
  5. Step 5: Solve for x
    x = 443,052,646,884/307,539
  6. Step 6: Final answer
    x = 1,440,638.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.