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Finding the Third Proportional to 367,220.25 and 778,524.75

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Solution

The third proportional to 367,220.25 and 778,524.75 is: 1,650,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,220.25 : 778,524.75 = 778,524.75 : x
  2. Step 2: Convert to fraction form
    367,220.25/778,524.75 = 778,524.75/x
  3. Step 3: Cross multiply
    367,220.25x = 778,524.75 × 778,524.75
  4. Step 4: Simplify right side
    367,220.25x = 606,100,786,362.56
  5. Step 5: Solve for x
    x = 606,100,786,362.56/367,220.25
  6. Step 6: Final answer
    x = 1,650,510.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.