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Finding the Third Proportional to 268,714 and 401,666

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Solution

The third proportional to 268,714 and 401,666 is: 600,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,714 : 401,666 = 401,666 : x
  2. Step 2: Convert to fraction form
    268,714/401,666 = 401,666/x
  3. Step 3: Cross multiply
    268,714x = 401,666 × 401,666
  4. Step 4: Simplify right side
    268,714x = 161,335,575,556
  5. Step 5: Solve for x
    x = 161,335,575,556/268,714
  6. Step 6: Final answer
    x = 600,398.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.