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Finding the Third Proportional to 519,606 and 779,481

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Solution

The third proportional to 519,606 and 779,481 is: 1,169,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,606 : 779,481 = 779,481 : x
  2. Step 2: Convert to fraction form
    519,606/779,481 = 779,481/x
  3. Step 3: Cross multiply
    519,606x = 779,481 × 779,481
  4. Step 4: Simplify right side
    519,606x = 607,590,629,361
  5. Step 5: Solve for x
    x = 607,590,629,361/519,606
  6. Step 6: Final answer
    x = 1,169,329.51

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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.