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Finding the Third Proportional to 300,709 and 622,732

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Solution

The third proportional to 300,709 and 622,732 is: 1,289,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,709 : 622,732 = 622,732 : x
  2. Step 2: Convert to fraction form
    300,709/622,732 = 622,732/x
  3. Step 3: Cross multiply
    300,709x = 622,732 × 622,732
  4. Step 4: Simplify right side
    300,709x = 387,795,143,824
  5. Step 5: Solve for x
    x = 387,795,143,824/300,709
  6. Step 6: Final answer
    x = 1,289,602.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.