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Finding the Third Proportional to 443,636 and 682,592

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Solution

The third proportional to 443,636 and 682,592 is: 1,050,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,636 : 682,592 = 682,592 : x
  2. Step 2: Convert to fraction form
    443,636/682,592 = 682,592/x
  3. Step 3: Cross multiply
    443,636x = 682,592 × 682,592
  4. Step 4: Simplify right side
    443,636x = 465,931,838,464
  5. Step 5: Solve for x
    x = 465,931,838,464/443,636
  6. Step 6: Final answer
    x = 1,050,257.05

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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.