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Finding the Third Proportional to 211,198 and 459,575

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Solution

The third proportional to 211,198 and 459,575 is: 1,000,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,198 : 459,575 = 459,575 : x
  2. Step 2: Convert to fraction form
    211,198/459,575 = 459,575/x
  3. Step 3: Cross multiply
    211,198x = 459,575 × 459,575
  4. Step 4: Simplify right side
    211,198x = 211,209,180,625
  5. Step 5: Solve for x
    x = 211,209,180,625/211,198
  6. Step 6: Final answer
    x = 1,000,052.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.