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Finding the Third Proportional to 197,084 and 446,779

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Solution

The third proportional to 197,084 and 446,779 is: 1,012,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,084 : 446,779 = 446,779 : x
  2. Step 2: Convert to fraction form
    197,084/446,779 = 446,779/x
  3. Step 3: Cross multiply
    197,084x = 446,779 × 446,779
  4. Step 4: Simplify right side
    197,084x = 199,611,474,841
  5. Step 5: Solve for x
    x = 199,611,474,841/197,084
  6. Step 6: Final answer
    x = 1,012,824.35

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.