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Finding the Third Proportional to 230,055.19 and 471,556.69

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Solution

The third proportional to 230,055.19 and 471,556.69 is: 966,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,055.19 : 471,556.69 = 471,556.69 : x
  2. Step 2: Convert to fraction form
    230,055.19/471,556.69 = 471,556.69/x
  3. Step 3: Cross multiply
    230,055.19x = 471,556.69 × 471,556.69
  4. Step 4: Simplify right side
    230,055.19x = 222,365,709,525.97
  5. Step 5: Solve for x
    x = 222,365,709,525.97/230,055.19
  6. Step 6: Final answer
    x = 966,575.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.