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Finding the Third Proportional to 337,941.25 and 523,089

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Solution

The third proportional to 337,941.25 and 523,089 is: 809,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,941.25 : 523,089 = 523,089 : x
  2. Step 2: Convert to fraction form
    337,941.25/523,089 = 523,089/x
  3. Step 3: Cross multiply
    337,941.25x = 523,089 × 523,089
  4. Step 4: Simplify right side
    337,941.25x = 273,622,101,921
  5. Step 5: Solve for x
    x = 273,622,101,921/337,941.25
  6. Step 6: Final answer
    x = 809,673.58

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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.