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Finding the Third Proportional to 221,433.75 and 475,125.75

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Solution

The third proportional to 221,433.75 and 475,125.75 is: 1,019,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433.75 : 475,125.75 = 475,125.75 : x
  2. Step 2: Convert to fraction form
    221,433.75/475,125.75 = 475,125.75/x
  3. Step 3: Cross multiply
    221,433.75x = 475,125.75 × 475,125.75
  4. Step 4: Simplify right side
    221,433.75x = 225,744,478,313.06
  5. Step 5: Solve for x
    x = 225,744,478,313.06/221,433.75
  6. Step 6: Final answer
    x = 1,019,467.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.