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Finding the Third Proportional to 481,722 and 677,771

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Solution

The third proportional to 481,722 and 677,771 is: 953,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,722 : 677,771 = 677,771 : x
  2. Step 2: Convert to fraction form
    481,722/677,771 = 677,771/x
  3. Step 3: Cross multiply
    481,722x = 677,771 × 677,771
  4. Step 4: Simplify right side
    481,722x = 459,373,528,441
  5. Step 5: Solve for x
    x = 459,373,528,441/481,722
  6. Step 6: Final answer
    x = 953,607.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.