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Finding the Third Proportional to 481,576 and 746,710

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Solution

The third proportional to 481,576 and 746,710 is: 1,157,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,576 : 746,710 = 746,710 : x
  2. Step 2: Convert to fraction form
    481,576/746,710 = 746,710/x
  3. Step 3: Cross multiply
    481,576x = 746,710 × 746,710
  4. Step 4: Simplify right side
    481,576x = 557,575,824,100
  5. Step 5: Solve for x
    x = 557,575,824,100/481,576
  6. Step 6: Final answer
    x = 1,157,814.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.