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Finding the Third Proportional to 395,954 and 863,376

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Solution

The third proportional to 395,954 and 863,376 is: 1,882,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,954 : 863,376 = 863,376 : x
  2. Step 2: Convert to fraction form
    395,954/863,376 = 863,376/x
  3. Step 3: Cross multiply
    395,954x = 863,376 × 863,376
  4. Step 4: Simplify right side
    395,954x = 745,418,117,376
  5. Step 5: Solve for x
    x = 745,418,117,376/395,954
  6. Step 6: Final answer
    x = 1,882,587.67

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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.