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Finding the Third Proportional to 268,708 and 590,408

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Solution

The third proportional to 268,708 and 590,408 is: 1,297,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,708 : 590,408 = 590,408 : x
  2. Step 2: Convert to fraction form
    268,708/590,408 = 590,408/x
  3. Step 3: Cross multiply
    268,708x = 590,408 × 590,408
  4. Step 4: Simplify right side
    268,708x = 348,581,606,464
  5. Step 5: Solve for x
    x = 348,581,606,464/268,708
  6. Step 6: Final answer
    x = 1,297,250.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.