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Finding the Third Proportional to 332,529 and 486,995

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Solution

The third proportional to 332,529 and 486,995 is: 713,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,529 : 486,995 = 486,995 : x
  2. Step 2: Convert to fraction form
    332,529/486,995 = 486,995/x
  3. Step 3: Cross multiply
    332,529x = 486,995 × 486,995
  4. Step 4: Simplify right side
    332,529x = 237,164,130,025
  5. Step 5: Solve for x
    x = 237,164,130,025/332,529
  6. Step 6: Final answer
    x = 713,213.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.