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Finding the Third Proportional to 354,801.75 and 550,887.75

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Solution

The third proportional to 354,801.75 and 550,887.75 is: 855,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,801.75 : 550,887.75 = 550,887.75 : x
  2. Step 2: Convert to fraction form
    354,801.75/550,887.75 = 550,887.75/x
  3. Step 3: Cross multiply
    354,801.75x = 550,887.75 × 550,887.75
  4. Step 4: Simplify right side
    354,801.75x = 303,477,313,100.06
  5. Step 5: Solve for x
    x = 303,477,313,100.06/354,801.75
  6. Step 6: Final answer
    x = 855,343.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.