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Finding the Third Proportional to 516,012.75 and 758,850.75

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Solution

The third proportional to 516,012.75 and 758,850.75 is: 1,115,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,012.75 : 758,850.75 = 758,850.75 : x
  2. Step 2: Convert to fraction form
    516,012.75/758,850.75 = 758,850.75/x
  3. Step 3: Cross multiply
    516,012.75x = 758,850.75 × 758,850.75
  4. Step 4: Simplify right side
    516,012.75x = 575,854,460,775.56
  5. Step 5: Solve for x
    x = 575,854,460,775.56/516,012.75
  6. Step 6: Final answer
    x = 1,115,969.44

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