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Finding the Third Proportional to 440,771.25 and 654,676.88

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Solution

The third proportional to 440,771.25 and 654,676.88 is: 972,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,771.25 : 654,676.88 = 654,676.88 : x
  2. Step 2: Convert to fraction form
    440,771.25/654,676.88 = 654,676.88/x
  3. Step 3: Cross multiply
    440,771.25x = 654,676.88 × 654,676.88
  4. Step 4: Simplify right side
    440,771.25x = 428,601,810,659.77
  5. Step 5: Solve for x
    x = 428,601,810,659.77/440,771.25
  6. Step 6: Final answer
    x = 972,390.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.