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Finding the Third Proportional to 534,945.75 and 793,579.50

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Solution

The third proportional to 534,945.75 and 793,579.50 is: 1,177,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,945.75 : 793,579.50 = 793,579.50 : x
  2. Step 2: Convert to fraction form
    534,945.75/793,579.50 = 793,579.50/x
  3. Step 3: Cross multiply
    534,945.75x = 793,579.50 × 793,579.50
  4. Step 4: Simplify right side
    534,945.75x = 629,768,422,820.25
  5. Step 5: Solve for x
    x = 629,768,422,820.25/534,945.75
  6. Step 6: Final answer
    x = 1,177,256.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.