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Finding the Third Proportional to 443,492 and 682,612

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Solution

The third proportional to 443,492 and 682,612 is: 1,050,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,492 : 682,612 = 682,612 : x
  2. Step 2: Convert to fraction form
    443,492/682,612 = 682,612/x
  3. Step 3: Cross multiply
    443,492x = 682,612 × 682,612
  4. Step 4: Simplify right side
    443,492x = 465,959,142,544
  5. Step 5: Solve for x
    x = 465,959,142,544/443,492
  6. Step 6: Final answer
    x = 1,050,659.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.