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Finding the Third Proportional to 299,424 and 476,184

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Solution

The third proportional to 299,424 and 476,184 is: 757,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,424 : 476,184 = 476,184 : x
  2. Step 2: Convert to fraction form
    299,424/476,184 = 476,184/x
  3. Step 3: Cross multiply
    299,424x = 476,184 × 476,184
  4. Step 4: Simplify right side
    299,424x = 226,751,201,856
  5. Step 5: Solve for x
    x = 226,751,201,856/299,424
  6. Step 6: Final answer
    x = 757,291.34

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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.