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Finding the Third Proportional to 513,008.44 and 794,422.69

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Solution

The third proportional to 513,008.44 and 794,422.69 is: 1,230,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,008.44 : 794,422.69 = 794,422.69 : x
  2. Step 2: Convert to fraction form
    513,008.44/794,422.69 = 794,422.69/x
  3. Step 3: Cross multiply
    513,008.44x = 794,422.69 × 794,422.69
  4. Step 4: Simplify right side
    513,008.44x = 631,107,406,414.72
  5. Step 5: Solve for x
    x = 631,107,406,414.72/513,008.44
  6. Step 6: Final answer
    x = 1,230,208.63

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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.