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Finding the Third Proportional to 519,486.75 and 777,139.50

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Solution

The third proportional to 519,486.75 and 777,139.50 is: 1,162,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,486.75 : 777,139.50 = 777,139.50 : x
  2. Step 2: Convert to fraction form
    519,486.75/777,139.50 = 777,139.50/x
  3. Step 3: Cross multiply
    519,486.75x = 777,139.50 × 777,139.50
  4. Step 4: Simplify right side
    519,486.75x = 603,945,802,460.25
  5. Step 5: Solve for x
    x = 603,945,802,460.25/519,486.75
  6. Step 6: Final answer
    x = 1,162,581.73

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