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Finding the Third Proportional to 267,649 and 594,338

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Solution

The third proportional to 267,649 and 594,338 is: 1,319,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,649 : 594,338 = 594,338 : x
  2. Step 2: Convert to fraction form
    267,649/594,338 = 594,338/x
  3. Step 3: Cross multiply
    267,649x = 594,338 × 594,338
  4. Step 4: Simplify right side
    267,649x = 353,237,658,244
  5. Step 5: Solve for x
    x = 353,237,658,244/267,649
  6. Step 6: Final answer
    x = 1,319,779.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.