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Finding the Third Proportional to 360,589.50 and 771,205.50

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Solution

The third proportional to 360,589.50 and 771,205.50 is: 1,649,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,589.50 : 771,205.50 = 771,205.50 : x
  2. Step 2: Convert to fraction form
    360,589.50/771,205.50 = 771,205.50/x
  3. Step 3: Cross multiply
    360,589.50x = 771,205.50 × 771,205.50
  4. Step 4: Simplify right side
    360,589.50x = 594,757,923,230.25
  5. Step 5: Solve for x
    x = 594,757,923,230.25/360,589.50
  6. Step 6: Final answer
    x = 1,649,404.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.