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Finding the Third Proportional to 414,524 and 860,206

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Solution

The third proportional to 414,524 and 860,206 is: 1,785,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,524 : 860,206 = 860,206 : x
  2. Step 2: Convert to fraction form
    414,524/860,206 = 860,206/x
  3. Step 3: Cross multiply
    414,524x = 860,206 × 860,206
  4. Step 4: Simplify right side
    414,524x = 739,954,362,436
  5. Step 5: Solve for x
    x = 739,954,362,436/414,524
  6. Step 6: Final answer
    x = 1,785,070.01

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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.