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Finding the Third Proportional to 351,222.75 and 522,945.75

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Solution

The third proportional to 351,222.75 and 522,945.75 is: 778,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,222.75 : 522,945.75 = 522,945.75 : x
  2. Step 2: Convert to fraction form
    351,222.75/522,945.75 = 522,945.75/x
  3. Step 3: Cross multiply
    351,222.75x = 522,945.75 × 522,945.75
  4. Step 4: Simplify right side
    351,222.75x = 273,472,257,443.06
  5. Step 5: Solve for x
    x = 273,472,257,443.06/351,222.75
  6. Step 6: Final answer
    x = 778,629.11

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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.