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Finding the Third Proportional to 511,135.31 and 793,668.38

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Solution

The third proportional to 511,135.31 and 793,668.38 is: 1,232,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,135.31 : 793,668.38 = 793,668.38 : x
  2. Step 2: Convert to fraction form
    511,135.31/793,668.38 = 793,668.38/x
  3. Step 3: Cross multiply
    511,135.31x = 793,668.38 × 793,668.38
  4. Step 4: Simplify right side
    511,135.31x = 629,909,489,475.14
  5. Step 5: Solve for x
    x = 629,909,489,475.14/511,135.31
  6. Step 6: Final answer
    x = 1,232,373.26

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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.