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Finding the Third Proportional to 541,462 and 793,723

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Solution

The third proportional to 541,462 and 793,723 is: 1,163,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,462 : 793,723 = 793,723 : x
  2. Step 2: Convert to fraction form
    541,462/793,723 = 793,723/x
  3. Step 3: Cross multiply
    541,462x = 793,723 × 793,723
  4. Step 4: Simplify right side
    541,462x = 629,996,200,729
  5. Step 5: Solve for x
    x = 629,996,200,729/541,462
  6. Step 6: Final answer
    x = 1,163,509.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.