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Finding the Third Proportional to 301,216.50 and 633,493.13

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Solution

The third proportional to 301,216.50 and 633,493.13 is: 1,332,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,216.50 : 633,493.13 = 633,493.13 : x
  2. Step 2: Convert to fraction form
    301,216.50/633,493.13 = 633,493.13/x
  3. Step 3: Cross multiply
    301,216.50x = 633,493.13 × 633,493.13
  4. Step 4: Simplify right side
    301,216.50x = 401,313,539,422.27
  5. Step 5: Solve for x
    x = 401,313,539,422.27/301,216.50
  6. Step 6: Final answer
    x = 1,332,309.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.