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Finding the Third Proportional to 351,846 and 545,039

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Solution

The third proportional to 351,846 and 545,039 is: 844,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,846 : 545,039 = 545,039 : x
  2. Step 2: Convert to fraction form
    351,846/545,039 = 545,039/x
  3. Step 3: Cross multiply
    351,846x = 545,039 × 545,039
  4. Step 4: Simplify right side
    351,846x = 297,067,511,521
  5. Step 5: Solve for x
    x = 297,067,511,521/351,846
  6. Step 6: Final answer
    x = 844,311.18

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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.