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Finding the Third Proportional to 279,652 and 443,022

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Solution

The third proportional to 279,652 and 443,022 is: 701,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,652 : 443,022 = 443,022 : x
  2. Step 2: Convert to fraction form
    279,652/443,022 = 443,022/x
  3. Step 3: Cross multiply
    279,652x = 443,022 × 443,022
  4. Step 4: Simplify right side
    279,652x = 196,268,492,484
  5. Step 5: Solve for x
    x = 196,268,492,484/279,652
  6. Step 6: Final answer
    x = 701,831.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.