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Finding the Third Proportional to 306,450 and 649,998

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Solution

The third proportional to 306,450 and 649,998 is: 1,378,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,450 : 649,998 = 649,998 : x
  2. Step 2: Convert to fraction form
    306,450/649,998 = 649,998/x
  3. Step 3: Cross multiply
    306,450x = 649,998 × 649,998
  4. Step 4: Simplify right side
    306,450x = 422,497,400,004
  5. Step 5: Solve for x
    x = 422,497,400,004/306,450
  6. Step 6: Final answer
    x = 1,378,682.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.