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Finding the Third Proportional to 301,083.75 and 408,705.75

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Solution

The third proportional to 301,083.75 and 408,705.75 is: 554,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,083.75 : 408,705.75 = 408,705.75 : x
  2. Step 2: Convert to fraction form
    301,083.75/408,705.75 = 408,705.75/x
  3. Step 3: Cross multiply
    301,083.75x = 408,705.75 × 408,705.75
  4. Step 4: Simplify right side
    301,083.75x = 167,040,390,083.06
  5. Step 5: Solve for x
    x = 167,040,390,083.06/301,083.75
  6. Step 6: Final answer
    x = 554,797.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.