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Finding the Third Proportional to 291,608 and 476,166

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Solution

The third proportional to 291,608 and 476,166 is: 777,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,608 : 476,166 = 476,166 : x
  2. Step 2: Convert to fraction form
    291,608/476,166 = 476,166/x
  3. Step 3: Cross multiply
    291,608x = 476,166 × 476,166
  4. Step 4: Simplify right side
    291,608x = 226,734,059,556
  5. Step 5: Solve for x
    x = 226,734,059,556/291,608
  6. Step 6: Final answer
    x = 777,530.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.