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Finding the Third Proportional to 519,811 and 783,556.50

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Solution

The third proportional to 519,811 and 783,556.50 is: 1,181,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,811 : 783,556.50 = 783,556.50 : x
  2. Step 2: Convert to fraction form
    519,811/783,556.50 = 783,556.50/x
  3. Step 3: Cross multiply
    519,811x = 783,556.50 × 783,556.50
  4. Step 4: Simplify right side
    519,811x = 613,960,788,692.25
  5. Step 5: Solve for x
    x = 613,960,788,692.25/519,811
  6. Step 6: Final answer
    x = 1,181,123.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.