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Finding the Third Proportional to 203,670 and 443,484

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Solution

The third proportional to 203,670 and 443,484 is: 965,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670 : 443,484 = 443,484 : x
  2. Step 2: Convert to fraction form
    203,670/443,484 = 443,484/x
  3. Step 3: Cross multiply
    203,670x = 443,484 × 443,484
  4. Step 4: Simplify right side
    203,670x = 196,678,058,256
  5. Step 5: Solve for x
    x = 196,678,058,256/203,670
  6. Step 6: Final answer
    x = 965,670.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.