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Finding the Third Proportional to 534,954 and 793,584

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Solution

The third proportional to 534,954 and 793,584 is: 1,177,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,954 : 793,584 = 793,584 : x
  2. Step 2: Convert to fraction form
    534,954/793,584 = 793,584/x
  3. Step 3: Cross multiply
    534,954x = 793,584 × 793,584
  4. Step 4: Simplify right side
    534,954x = 629,775,565,056
  5. Step 5: Solve for x
    x = 629,775,565,056/534,954
  6. Step 6: Final answer
    x = 1,177,251.81

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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.