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Finding the Third Proportional to 304,004 and 659,928.75

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Solution

The third proportional to 304,004 and 659,928.75 is: 1,432,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,004 : 659,928.75 = 659,928.75 : x
  2. Step 2: Convert to fraction form
    304,004/659,928.75 = 659,928.75/x
  3. Step 3: Cross multiply
    304,004x = 659,928.75 × 659,928.75
  4. Step 4: Simplify right side
    304,004x = 435,505,955,076.56
  5. Step 5: Solve for x
    x = 435,505,955,076.56/304,004
  6. Step 6: Final answer
    x = 1,432,566.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.