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Finding the Third Proportional to 285,059.75 and 619,735.50

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Solution

The third proportional to 285,059.75 and 619,735.50 is: 1,347,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059.75 : 619,735.50 = 619,735.50 : x
  2. Step 2: Convert to fraction form
    285,059.75/619,735.50 = 619,735.50/x
  3. Step 3: Cross multiply
    285,059.75x = 619,735.50 × 619,735.50
  4. Step 4: Simplify right side
    285,059.75x = 384,072,089,960.25
  5. Step 5: Solve for x
    x = 384,072,089,960.25/285,059.75
  6. Step 6: Final answer
    x = 1,347,338.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.