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Finding the Third Proportional to 197,084 and 446,783

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Solution

The third proportional to 197,084 and 446,783 is: 1,012,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,084 : 446,783 = 446,783 : x
  2. Step 2: Convert to fraction form
    197,084/446,783 = 446,783/x
  3. Step 3: Cross multiply
    197,084x = 446,783 × 446,783
  4. Step 4: Simplify right side
    197,084x = 199,615,049,089
  5. Step 5: Solve for x
    x = 199,615,049,089/197,084
  6. Step 6: Final answer
    x = 1,012,842.49

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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.