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Finding the Third Proportional to 302,896 and 666,704

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Solution

The third proportional to 302,896 and 666,704 is: 1,467,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,896 : 666,704 = 666,704 : x
  2. Step 2: Convert to fraction form
    302,896/666,704 = 666,704/x
  3. Step 3: Cross multiply
    302,896x = 666,704 × 666,704
  4. Step 4: Simplify right side
    302,896x = 444,494,223,616
  5. Step 5: Solve for x
    x = 444,494,223,616/302,896
  6. Step 6: Final answer
    x = 1,467,481.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.