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Finding the Third Proportional to 200,919 and 429,801

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Solution

The third proportional to 200,919 and 429,801 is: 919,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919 : 429,801 = 429,801 : x
  2. Step 2: Convert to fraction form
    200,919/429,801 = 429,801/x
  3. Step 3: Cross multiply
    200,919x = 429,801 × 429,801
  4. Step 4: Simplify right side
    200,919x = 184,728,899,601
  5. Step 5: Solve for x
    x = 184,728,899,601/200,919
  6. Step 6: Final answer
    x = 919,419.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.