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Finding the Third Proportional to 515,994.75 and 758,825.25

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Solution

The third proportional to 515,994.75 and 758,825.25 is: 1,115,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994.75 : 758,825.25 = 758,825.25 : x
  2. Step 2: Convert to fraction form
    515,994.75/758,825.25 = 758,825.25/x
  3. Step 3: Cross multiply
    515,994.75x = 758,825.25 × 758,825.25
  4. Step 4: Simplify right side
    515,994.75x = 575,815,760,037.56
  5. Step 5: Solve for x
    x = 575,815,760,037.56/515,994.75
  6. Step 6: Final answer
    x = 1,115,933.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.