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Finding the Third Proportional to 541,729 and 839,983

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Solution

The third proportional to 541,729 and 839,983 is: 1,302,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,729 : 839,983 = 839,983 : x
  2. Step 2: Convert to fraction form
    541,729/839,983 = 839,983/x
  3. Step 3: Cross multiply
    541,729x = 839,983 × 839,983
  4. Step 4: Simplify right side
    541,729x = 705,571,440,289
  5. Step 5: Solve for x
    x = 705,571,440,289/541,729
  6. Step 6: Final answer
    x = 1,302,443.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.