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Finding the Third Proportional to 513,114.75 and 794,584.69

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Solution

The third proportional to 513,114.75 and 794,584.69 is: 1,230,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,114.75 : 794,584.69 = 794,584.69 : x
  2. Step 2: Convert to fraction form
    513,114.75/794,584.69 = 794,584.69/x
  3. Step 3: Cross multiply
    513,114.75x = 794,584.69 × 794,584.69
  4. Step 4: Simplify right side
    513,114.75x = 631,364,825,609.47
  5. Step 5: Solve for x
    x = 631,364,825,609.47/513,114.75
  6. Step 6: Final answer
    x = 1,230,455.42

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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.