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Finding the Third Proportional to 393,665 and 863,600

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Solution

The third proportional to 393,665 and 863,600 is: 1,894,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,665 : 863,600 = 863,600 : x
  2. Step 2: Convert to fraction form
    393,665/863,600 = 863,600/x
  3. Step 3: Cross multiply
    393,665x = 863,600 × 863,600
  4. Step 4: Simplify right side
    393,665x = 745,804,960,000
  5. Step 5: Solve for x
    x = 745,804,960,000/393,665
  6. Step 6: Final answer
    x = 1,894,516.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.