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Finding the Third Proportional to 397,624 and 854,575

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Solution

The third proportional to 397,624 and 854,575 is: 1,836,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,624 : 854,575 = 854,575 : x
  2. Step 2: Convert to fraction form
    397,624/854,575 = 854,575/x
  3. Step 3: Cross multiply
    397,624x = 854,575 × 854,575
  4. Step 4: Simplify right side
    397,624x = 730,298,430,625
  5. Step 5: Solve for x
    x = 730,298,430,625/397,624
  6. Step 6: Final answer
    x = 1,836,655.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.