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Finding the Third Proportional to 393,824 and 863,896

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Solution

The third proportional to 393,824 and 863,896 is: 1,895,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,824 : 863,896 = 863,896 : x
  2. Step 2: Convert to fraction form
    393,824/863,896 = 863,896/x
  3. Step 3: Cross multiply
    393,824x = 863,896 × 863,896
  4. Step 4: Simplify right side
    393,824x = 746,316,298,816
  5. Step 5: Solve for x
    x = 746,316,298,816/393,824
  6. Step 6: Final answer
    x = 1,895,050.32

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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.