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Finding the Third Proportional to 332,669 and 754,170

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Solution

The third proportional to 332,669 and 754,170 is: 1,709,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,669 : 754,170 = 754,170 : x
  2. Step 2: Convert to fraction form
    332,669/754,170 = 754,170/x
  3. Step 3: Cross multiply
    332,669x = 754,170 × 754,170
  4. Step 4: Simplify right side
    332,669x = 568,772,388,900
  5. Step 5: Solve for x
    x = 568,772,388,900/332,669
  6. Step 6: Final answer
    x = 1,709,724.65

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.