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Finding the Third Proportional to 300,226.50 and 646,354.69

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Solution

The third proportional to 300,226.50 and 646,354.69 is: 1,391,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,226.50 : 646,354.69 = 646,354.69 : x
  2. Step 2: Convert to fraction form
    300,226.50/646,354.69 = 646,354.69/x
  3. Step 3: Cross multiply
    300,226.50x = 646,354.69 × 646,354.69
  4. Step 4: Simplify right side
    300,226.50x = 417,774,382,053.22
  5. Step 5: Solve for x
    x = 417,774,382,053.22/300,226.50
  6. Step 6: Final answer
    x = 1,391,530.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.