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Finding the Third Proportional to 368,296 and 574,829

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Solution

The third proportional to 368,296 and 574,829 is: 897,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,296 : 574,829 = 574,829 : x
  2. Step 2: Convert to fraction form
    368,296/574,829 = 574,829/x
  3. Step 3: Cross multiply
    368,296x = 574,829 × 574,829
  4. Step 4: Simplify right side
    368,296x = 330,428,379,241
  5. Step 5: Solve for x
    x = 330,428,379,241/368,296
  6. Step 6: Final answer
    x = 897,181.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.