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Finding the Third Proportional to 513,076.50 and 772,692.75

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Solution

The third proportional to 513,076.50 and 772,692.75 is: 1,163,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,076.50 : 772,692.75 = 772,692.75 : x
  2. Step 2: Convert to fraction form
    513,076.50/772,692.75 = 772,692.75/x
  3. Step 3: Cross multiply
    513,076.50x = 772,692.75 × 772,692.75
  4. Step 4: Simplify right side
    513,076.50x = 597,054,085,902.56
  5. Step 5: Solve for x
    x = 597,054,085,902.56/513,076.50
  6. Step 6: Final answer
    x = 1,163,674.59

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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.