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Finding the Third Proportional to 853,301.25 and 1,277,538.75

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Solution

The third proportional to 853,301.25 and 1,277,538.75 is: 1,912,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,301.25 : 1,277,538.75 = 1,277,538.75 : x
  2. Step 2: Convert to fraction form
    853,301.25/1,277,538.75 = 1,277,538.75/x
  3. Step 3: Cross multiply
    853,301.25x = 1,277,538.75 × 1,277,538.75
  4. Step 4: Simplify right side
    853,301.25x = 1,632,105,257,751.56
  5. Step 5: Solve for x
    x = 1,632,105,257,751.56/853,301.25
  6. Step 6: Final answer
    x = 1,912,695.26

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Why These Related Problems?

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