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Finding the Third Proportional to 529,195.75 and 794,984.75

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Solution

The third proportional to 529,195.75 and 794,984.75 is: 1,194,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,195.75 : 794,984.75 = 794,984.75 : x
  2. Step 2: Convert to fraction form
    529,195.75/794,984.75 = 794,984.75/x
  3. Step 3: Cross multiply
    529,195.75x = 794,984.75 × 794,984.75
  4. Step 4: Simplify right side
    529,195.75x = 632,000,752,732.56
  5. Step 5: Solve for x
    x = 632,000,752,732.56/529,195.75
  6. Step 6: Final answer
    x = 1,194,266.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.