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Finding the Third Proportional to 513,114.75 and 794,580.75

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Solution

The third proportional to 513,114.75 and 794,580.75 is: 1,230,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,114.75 : 794,580.75 = 794,580.75 : x
  2. Step 2: Convert to fraction form
    513,114.75/794,580.75 = 794,580.75/x
  3. Step 3: Cross multiply
    513,114.75x = 794,580.75 × 794,580.75
  4. Step 4: Simplify right side
    513,114.75x = 631,358,568,270.56
  5. Step 5: Solve for x
    x = 631,358,568,270.56/513,114.75
  6. Step 6: Final answer
    x = 1,230,443.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.