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Finding the Third Proportional to 300,645 and 699,124.50

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Solution

The third proportional to 300,645 and 699,124.50 is: 1,625,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,645 : 699,124.50 = 699,124.50 : x
  2. Step 2: Convert to fraction form
    300,645/699,124.50 = 699,124.50/x
  3. Step 3: Cross multiply
    300,645x = 699,124.50 × 699,124.50
  4. Step 4: Simplify right side
    300,645x = 488,775,066,500.25
  5. Step 5: Solve for x
    x = 488,775,066,500.25/300,645
  6. Step 6: Final answer
    x = 1,625,754.85

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.