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Finding the Third Proportional to 315,606 and 443,922

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Solution

The third proportional to 315,606 and 443,922 is: 624,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,606 : 443,922 = 443,922 : x
  2. Step 2: Convert to fraction form
    315,606/443,922 = 443,922/x
  3. Step 3: Cross multiply
    315,606x = 443,922 × 443,922
  4. Step 4: Simplify right side
    315,606x = 197,066,742,084
  5. Step 5: Solve for x
    x = 197,066,742,084/315,606
  6. Step 6: Final answer
    x = 624,407.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.