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Finding the Third Proportional to 511,403.63 and 767,105.44

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Solution

The third proportional to 511,403.63 and 767,105.44 is: 1,150,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,403.63 : 767,105.44 = 767,105.44 : x
  2. Step 2: Convert to fraction form
    511,403.63/767,105.44 = 767,105.44/x
  3. Step 3: Cross multiply
    511,403.63x = 767,105.44 × 767,105.44
  4. Step 4: Simplify right side
    511,403.63x = 588,450,752,242.07
  5. Step 5: Solve for x
    x = 588,450,752,242.07/511,403.63
  6. Step 6: Final answer
    x = 1,150,658.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.