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Finding the Third Proportional to 207,922 and 449,033

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Solution

The third proportional to 207,922 and 449,033 is: 969,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,922 : 449,033 = 449,033 : x
  2. Step 2: Convert to fraction form
    207,922/449,033 = 449,033/x
  3. Step 3: Cross multiply
    207,922x = 449,033 × 449,033
  4. Step 4: Simplify right side
    207,922x = 201,630,635,089
  5. Step 5: Solve for x
    x = 201,630,635,089/207,922
  6. Step 6: Final answer
    x = 969,741.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.