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Finding the Third Proportional to 311,868 and 486,054

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Solution

The third proportional to 311,868 and 486,054 is: 757,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868 : 486,054 = 486,054 : x
  2. Step 2: Convert to fraction form
    311,868/486,054 = 486,054/x
  3. Step 3: Cross multiply
    311,868x = 486,054 × 486,054
  4. Step 4: Simplify right side
    311,868x = 236,248,490,916
  5. Step 5: Solve for x
    x = 236,248,490,916/311,868
  6. Step 6: Final answer
    x = 757,527.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.