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Finding the Third Proportional to 541,446 and 793,701

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Solution

The third proportional to 541,446 and 793,701 is: 1,163,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,446 : 793,701 = 793,701 : x
  2. Step 2: Convert to fraction form
    541,446/793,701 = 793,701/x
  3. Step 3: Cross multiply
    541,446x = 793,701 × 793,701
  4. Step 4: Simplify right side
    541,446x = 629,961,277,401
  5. Step 5: Solve for x
    x = 629,961,277,401/541,446
  6. Step 6: Final answer
    x = 1,163,479.42

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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.