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Finding the Third Proportional to 373,824 and 809,856

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Solution

The third proportional to 373,824 and 809,856 is: 1,754,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,824 : 809,856 = 809,856 : x
  2. Step 2: Convert to fraction form
    373,824/809,856 = 809,856/x
  3. Step 3: Cross multiply
    373,824x = 809,856 × 809,856
  4. Step 4: Simplify right side
    373,824x = 655,866,740,736
  5. Step 5: Solve for x
    x = 655,866,740,736/373,824
  6. Step 6: Final answer
    x = 1,754,480.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.