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Finding the Third Proportional to 303,825 and 654,394.50

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Solution

The third proportional to 303,825 and 654,394.50 is: 1,409,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,825 : 654,394.50 = 654,394.50 : x
  2. Step 2: Convert to fraction form
    303,825/654,394.50 = 654,394.50/x
  3. Step 3: Cross multiply
    303,825x = 654,394.50 × 654,394.50
  4. Step 4: Simplify right side
    303,825x = 428,232,161,630.25
  5. Step 5: Solve for x
    x = 428,232,161,630.25/303,825
  6. Step 6: Final answer
    x = 1,409,469.80

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Why These Related Problems?

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