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Finding the Third Proportional to 200,921 and 429,805

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Solution

The third proportional to 200,921 and 429,805 is: 919,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,921 : 429,805 = 429,805 : x
  2. Step 2: Convert to fraction form
    200,921/429,805 = 429,805/x
  3. Step 3: Cross multiply
    200,921x = 429,805 × 429,805
  4. Step 4: Simplify right side
    200,921x = 184,732,338,025
  5. Step 5: Solve for x
    x = 184,732,338,025/200,921
  6. Step 6: Final answer
    x = 919,427.73

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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.