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Finding the Third Proportional to 201,919 and 436,862

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Solution

The third proportional to 201,919 and 436,862 is: 945,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919 : 436,862 = 436,862 : x
  2. Step 2: Convert to fraction form
    201,919/436,862 = 436,862/x
  3. Step 3: Cross multiply
    201,919x = 436,862 × 436,862
  4. Step 4: Simplify right side
    201,919x = 190,848,407,044
  5. Step 5: Solve for x
    x = 190,848,407,044/201,919
  6. Step 6: Final answer
    x = 945,173.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.