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Finding the Third Proportional to 303,162.75 and 441,409.50

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Solution

The third proportional to 303,162.75 and 441,409.50 is: 642,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,162.75 : 441,409.50 = 441,409.50 : x
  2. Step 2: Convert to fraction form
    303,162.75/441,409.50 = 441,409.50/x
  3. Step 3: Cross multiply
    303,162.75x = 441,409.50 × 441,409.50
  4. Step 4: Simplify right side
    303,162.75x = 194,842,346,690.25
  5. Step 5: Solve for x
    x = 194,842,346,690.25/303,162.75
  6. Step 6: Final answer
    x = 642,698.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.