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Finding the Third Proportional to 368,966 and 806,914

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Solution

The third proportional to 368,966 and 806,914 is: 1,764,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,966 : 806,914 = 806,914 : x
  2. Step 2: Convert to fraction form
    368,966/806,914 = 806,914/x
  3. Step 3: Cross multiply
    368,966x = 806,914 × 806,914
  4. Step 4: Simplify right side
    368,966x = 651,110,203,396
  5. Step 5: Solve for x
    x = 651,110,203,396/368,966
  6. Step 6: Final answer
    x = 1,764,688.90

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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.