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Finding the Third Proportional to 360,922.50 and 504,608

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Solution

The third proportional to 360,922.50 and 504,608 is: 705,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,922.50 : 504,608 = 504,608 : x
  2. Step 2: Convert to fraction form
    360,922.50/504,608 = 504,608/x
  3. Step 3: Cross multiply
    360,922.50x = 504,608 × 504,608
  4. Step 4: Simplify right side
    360,922.50x = 254,629,233,664
  5. Step 5: Solve for x
    x = 254,629,233,664/360,922.50
  6. Step 6: Final answer
    x = 705,495.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.