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Finding the Third Proportional to 414,534 and 860,232

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Solution

The third proportional to 414,534 and 860,232 is: 1,785,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,534 : 860,232 = 860,232 : x
  2. Step 2: Convert to fraction form
    414,534/860,232 = 860,232/x
  3. Step 3: Cross multiply
    414,534x = 860,232 × 860,232
  4. Step 4: Simplify right side
    414,534x = 739,999,093,824
  5. Step 5: Solve for x
    x = 739,999,093,824/414,534
  6. Step 6: Final answer
    x = 1,785,134.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.