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Finding the Third Proportional to 465,696 and 683,211

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Solution

The third proportional to 465,696 and 683,211 is: 1,002,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696 : 683,211 = 683,211 : x
  2. Step 2: Convert to fraction form
    465,696/683,211 = 683,211/x
  3. Step 3: Cross multiply
    465,696x = 683,211 × 683,211
  4. Step 4: Simplify right side
    465,696x = 466,777,270,521
  5. Step 5: Solve for x
    x = 466,777,270,521/465,696
  6. Step 6: Final answer
    x = 1,002,321.84

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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.