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Finding the Third Proportional to 399,616 and 856,232

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Solution

The third proportional to 399,616 and 856,232 is: 1,834,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,616 : 856,232 = 856,232 : x
  2. Step 2: Convert to fraction form
    399,616/856,232 = 856,232/x
  3. Step 3: Cross multiply
    399,616x = 856,232 × 856,232
  4. Step 4: Simplify right side
    399,616x = 733,133,237,824
  5. Step 5: Solve for x
    x = 733,133,237,824/399,616
  6. Step 6: Final answer
    x = 1,834,594.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.