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Finding the Third Proportional to 300,774 and 668,794.50

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Solution

The third proportional to 300,774 and 668,794.50 is: 1,487,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,774 : 668,794.50 = 668,794.50 : x
  2. Step 2: Convert to fraction form
    300,774/668,794.50 = 668,794.50/x
  3. Step 3: Cross multiply
    300,774x = 668,794.50 × 668,794.50
  4. Step 4: Simplify right side
    300,774x = 447,286,083,230.25
  5. Step 5: Solve for x
    x = 447,286,083,230.25/300,774
  6. Step 6: Final answer
    x = 1,487,116.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.