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Finding the Third Proportional to 506,556.75 and 770,279.25

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Solution

The third proportional to 506,556.75 and 770,279.25 is: 1,171,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,556.75 : 770,279.25 = 770,279.25 : x
  2. Step 2: Convert to fraction form
    506,556.75/770,279.25 = 770,279.25/x
  3. Step 3: Cross multiply
    506,556.75x = 770,279.25 × 770,279.25
  4. Step 4: Simplify right side
    506,556.75x = 593,330,122,980.56
  5. Step 5: Solve for x
    x = 593,330,122,980.56/506,556.75
  6. Step 6: Final answer
    x = 1,171,300.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.