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Finding the Third Proportional to 304,107.75 and 438,059.25

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Solution

The third proportional to 304,107.75 and 438,059.25 is: 631,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,107.75 : 438,059.25 = 438,059.25 : x
  2. Step 2: Convert to fraction form
    304,107.75/438,059.25 = 438,059.25/x
  3. Step 3: Cross multiply
    304,107.75x = 438,059.25 × 438,059.25
  4. Step 4: Simplify right side
    304,107.75x = 191,895,906,510.56
  5. Step 5: Solve for x
    x = 191,895,906,510.56/304,107.75
  6. Step 6: Final answer
    x = 631,012.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.