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Finding the Third Proportional to 283,556.25 and 619,114.50

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Solution

The third proportional to 283,556.25 and 619,114.50 is: 1,351,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,556.25 : 619,114.50 = 619,114.50 : x
  2. Step 2: Convert to fraction form
    283,556.25/619,114.50 = 619,114.50/x
  3. Step 3: Cross multiply
    283,556.25x = 619,114.50 × 619,114.50
  4. Step 4: Simplify right side
    283,556.25x = 383,302,764,110.25
  5. Step 5: Solve for x
    x = 383,302,764,110.25/283,556.25
  6. Step 6: Final answer
    x = 1,351,769.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.