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Finding the Third Proportional to 333,020.25 and 366,828.75

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Solution

The third proportional to 333,020.25 and 366,828.75 is: 404,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,020.25 : 366,828.75 = 366,828.75 : x
  2. Step 2: Convert to fraction form
    333,020.25/366,828.75 = 366,828.75/x
  3. Step 3: Cross multiply
    333,020.25x = 366,828.75 × 366,828.75
  4. Step 4: Simplify right side
    333,020.25x = 134,563,331,826.56
  5. Step 5: Solve for x
    x = 134,563,331,826.56/333,020.25
  6. Step 6: Final answer
    x = 404,069.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.