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Finding the Third Proportional to 351,219 and 522,940.50

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Solution

The third proportional to 351,219 and 522,940.50 is: 778,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,219 : 522,940.50 = 522,940.50 : x
  2. Step 2: Convert to fraction form
    351,219/522,940.50 = 522,940.50/x
  3. Step 3: Cross multiply
    351,219x = 522,940.50 × 522,940.50
  4. Step 4: Simplify right side
    351,219x = 273,466,766,540.25
  5. Step 5: Solve for x
    x = 273,466,766,540.25/351,219
  6. Step 6: Final answer
    x = 778,621.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.