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Finding the Third Proportional to 591,522.75 and 965,814.75

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Solution

The third proportional to 591,522.75 and 965,814.75 is: 1,576,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,522.75 : 965,814.75 = 965,814.75 : x
  2. Step 2: Convert to fraction form
    591,522.75/965,814.75 = 965,814.75/x
  3. Step 3: Cross multiply
    591,522.75x = 965,814.75 × 965,814.75
  4. Step 4: Simplify right side
    591,522.75x = 932,798,131,317.56
  5. Step 5: Solve for x
    x = 932,798,131,317.56/591,522.75
  6. Step 6: Final answer
    x = 1,576,943.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.