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Finding the Third Proportional to 253,077 and 550,438.50

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Solution

The third proportional to 253,077 and 550,438.50 is: 1,197,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,077 : 550,438.50 = 550,438.50 : x
  2. Step 2: Convert to fraction form
    253,077/550,438.50 = 550,438.50/x
  3. Step 3: Cross multiply
    253,077x = 550,438.50 × 550,438.50
  4. Step 4: Simplify right side
    253,077x = 302,982,542,282.25
  5. Step 5: Solve for x
    x = 302,982,542,282.25/253,077
  6. Step 6: Final answer
    x = 1,197,195.09

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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.