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Finding the Third Proportional to 421,690 and 670,667

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Solution

The third proportional to 421,690 and 670,667 is: 1,066,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,690 : 670,667 = 670,667 : x
  2. Step 2: Convert to fraction form
    421,690/670,667 = 670,667/x
  3. Step 3: Cross multiply
    421,690x = 670,667 × 670,667
  4. Step 4: Simplify right side
    421,690x = 449,794,224,889
  5. Step 5: Solve for x
    x = 449,794,224,889/421,690
  6. Step 6: Final answer
    x = 1,066,646.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.