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Finding the Third Proportional to 354,876 and 536,001

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Solution

The third proportional to 354,876 and 536,001 is: 809,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,876 : 536,001 = 536,001 : x
  2. Step 2: Convert to fraction form
    354,876/536,001 = 536,001/x
  3. Step 3: Cross multiply
    354,876x = 536,001 × 536,001
  4. Step 4: Simplify right side
    354,876x = 287,297,072,001
  5. Step 5: Solve for x
    x = 287,297,072,001/354,876
  6. Step 6: Final answer
    x = 809,570.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.