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Finding the Third Proportional to 466,353 and 967,765

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Solution

The third proportional to 466,353 and 967,765 is: 2,008,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,353 : 967,765 = 967,765 : x
  2. Step 2: Convert to fraction form
    466,353/967,765 = 967,765/x
  3. Step 3: Cross multiply
    466,353x = 967,765 × 967,765
  4. Step 4: Simplify right side
    466,353x = 936,569,095,225
  5. Step 5: Solve for x
    x = 936,569,095,225/466,353
  6. Step 6: Final answer
    x = 2,008,283.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.