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Finding the Third Proportional to 308,120 and 666,782

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Solution

The third proportional to 308,120 and 666,782 is: 1,442,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,120 : 666,782 = 666,782 : x
  2. Step 2: Convert to fraction form
    308,120/666,782 = 666,782/x
  3. Step 3: Cross multiply
    308,120x = 666,782 × 666,782
  4. Step 4: Simplify right side
    308,120x = 444,598,235,524
  5. Step 5: Solve for x
    x = 444,598,235,524/308,120
  6. Step 6: Final answer
    x = 1,442,938.58

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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.