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Finding the Third Proportional to 511,023.94 and 793,531.69

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Solution

The third proportional to 511,023.94 and 793,531.69 is: 1,232,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,023.94 : 793,531.69 = 793,531.69 : x
  2. Step 2: Convert to fraction form
    511,023.94/793,531.69 = 793,531.69/x
  3. Step 3: Cross multiply
    511,023.94x = 793,531.69 × 793,531.69
  4. Step 4: Simplify right side
    511,023.94x = 629,692,539,066.60
  5. Step 5: Solve for x
    x = 629,692,539,066.60/511,023.94
  6. Step 6: Final answer
    x = 1,232,217.31

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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.