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Finding the Third Proportional to 211,198 and 429,733

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Solution

The third proportional to 211,198 and 429,733 is: 874,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,198 : 429,733 = 429,733 : x
  2. Step 2: Convert to fraction form
    211,198/429,733 = 429,733/x
  3. Step 3: Cross multiply
    211,198x = 429,733 × 429,733
  4. Step 4: Simplify right side
    211,198x = 184,670,451,289
  5. Step 5: Solve for x
    x = 184,670,451,289/211,198
  6. Step 6: Final answer
    x = 874,394.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.