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Finding the Third Proportional to 486,172 and 735,965

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Solution

The third proportional to 486,172 and 735,965 is: 1,114,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,172 : 735,965 = 735,965 : x
  2. Step 2: Convert to fraction form
    486,172/735,965 = 735,965/x
  3. Step 3: Cross multiply
    486,172x = 735,965 × 735,965
  4. Step 4: Simplify right side
    486,172x = 541,644,481,225
  5. Step 5: Solve for x
    x = 541,644,481,225/486,172
  6. Step 6: Final answer
    x = 1,114,100.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.