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Finding the Third Proportional to 579,519 and 851,944.50

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Solution

The third proportional to 579,519 and 851,944.50 is: 1,252,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,519 : 851,944.50 = 851,944.50 : x
  2. Step 2: Convert to fraction form
    579,519/851,944.50 = 851,944.50/x
  3. Step 3: Cross multiply
    579,519x = 851,944.50 × 851,944.50
  4. Step 4: Simplify right side
    579,519x = 725,809,431,080.25
  5. Step 5: Solve for x
    x = 725,809,431,080.25/579,519
  6. Step 6: Final answer
    x = 1,252,434.23

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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.