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Finding the Third Proportional to 486,164 and 735,956

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Solution

The third proportional to 486,164 and 735,956 is: 1,114,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,164 : 735,956 = 735,956 : x
  2. Step 2: Convert to fraction form
    486,164/735,956 = 735,956/x
  3. Step 3: Cross multiply
    486,164x = 735,956 × 735,956
  4. Step 4: Simplify right side
    486,164x = 541,631,233,936
  5. Step 5: Solve for x
    x = 541,631,233,936/486,164
  6. Step 6: Final answer
    x = 1,114,091.61

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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.