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Finding the Third Proportional to 471,579.75 and 666,636.75

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Solution

The third proportional to 471,579.75 and 666,636.75 is: 942,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,579.75 : 666,636.75 = 666,636.75 : x
  2. Step 2: Convert to fraction form
    471,579.75/666,636.75 = 666,636.75/x
  3. Step 3: Cross multiply
    471,579.75x = 666,636.75 × 666,636.75
  4. Step 4: Simplify right side
    471,579.75x = 444,404,556,450.56
  5. Step 5: Solve for x
    x = 444,404,556,450.56/471,579.75
  6. Step 6: Final answer
    x = 942,374.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.