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Finding the Third Proportional to 353,202.75 and 529,004.25

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Solution

The third proportional to 353,202.75 and 529,004.25 is: 792,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,202.75 : 529,004.25 = 529,004.25 : x
  2. Step 2: Convert to fraction form
    353,202.75/529,004.25 = 529,004.25/x
  3. Step 3: Cross multiply
    353,202.75x = 529,004.25 × 529,004.25
  4. Step 4: Simplify right side
    353,202.75x = 279,845,496,518.06
  5. Step 5: Solve for x
    x = 279,845,496,518.06/353,202.75
  6. Step 6: Final answer
    x = 792,308.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.