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Finding the Third Proportional to 335,852 and 691,408

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Solution

The third proportional to 335,852 and 691,408 is: 1,423,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,852 : 691,408 = 691,408 : x
  2. Step 2: Convert to fraction form
    335,852/691,408 = 691,408/x
  3. Step 3: Cross multiply
    335,852x = 691,408 × 691,408
  4. Step 4: Simplify right side
    335,852x = 478,045,022,464
  5. Step 5: Solve for x
    x = 478,045,022,464/335,852
  6. Step 6: Final answer
    x = 1,423,380.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.