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Finding the Third Proportional to 436,686 and 666,690

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Solution

The third proportional to 436,686 and 666,690 is: 1,017,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,686 : 666,690 = 666,690 : x
  2. Step 2: Convert to fraction form
    436,686/666,690 = 666,690/x
  3. Step 3: Cross multiply
    436,686x = 666,690 × 666,690
  4. Step 4: Simplify right side
    436,686x = 444,475,556,100
  5. Step 5: Solve for x
    x = 444,475,556,100/436,686
  6. Step 6: Final answer
    x = 1,017,837.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.