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Finding the Third Proportional to 303,927 and 661,369.50

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Solution

The third proportional to 303,927 and 661,369.50 is: 1,439,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,927 : 661,369.50 = 661,369.50 : x
  2. Step 2: Convert to fraction form
    303,927/661,369.50 = 661,369.50/x
  3. Step 3: Cross multiply
    303,927x = 661,369.50 × 661,369.50
  4. Step 4: Simplify right side
    303,927x = 437,409,615,530.25
  5. Step 5: Solve for x
    x = 437,409,615,530.25/303,927
  6. Step 6: Final answer
    x = 1,439,193.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.