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Finding the Third Proportional to 200,044 and 436,036

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Solution

The third proportional to 200,044 and 436,036 is: 950,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,044 : 436,036 = 436,036 : x
  2. Step 2: Convert to fraction form
    200,044/436,036 = 436,036/x
  3. Step 3: Cross multiply
    200,044x = 436,036 × 436,036
  4. Step 4: Simplify right side
    200,044x = 190,127,393,296
  5. Step 5: Solve for x
    x = 190,127,393,296/200,044
  6. Step 6: Final answer
    x = 950,427.87

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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.