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Finding the Third Proportional to 431,001 and 874,296

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Solution

The third proportional to 431,001 and 874,296 is: 1,773,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,001 : 874,296 = 874,296 : x
  2. Step 2: Convert to fraction form
    431,001/874,296 = 874,296/x
  3. Step 3: Cross multiply
    431,001x = 874,296 × 874,296
  4. Step 4: Simplify right side
    431,001x = 764,393,495,616
  5. Step 5: Solve for x
    x = 764,393,495,616/431,001
  6. Step 6: Final answer
    x = 1,773,530.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.