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Finding the Third Proportional to 267,372 and 594,514

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Solution

The third proportional to 267,372 and 594,514 is: 1,321,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,372 : 594,514 = 594,514 : x
  2. Step 2: Convert to fraction form
    267,372/594,514 = 594,514/x
  3. Step 3: Cross multiply
    267,372x = 594,514 × 594,514
  4. Step 4: Simplify right side
    267,372x = 353,446,896,196
  5. Step 5: Solve for x
    x = 353,446,896,196/267,372
  6. Step 6: Final answer
    x = 1,321,929.36

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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.