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Finding the Third Proportional to 580,018 and 816,806

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Solution

The third proportional to 580,018 and 816,806 is: 1,150,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,018 : 816,806 = 816,806 : x
  2. Step 2: Convert to fraction form
    580,018/816,806 = 816,806/x
  3. Step 3: Cross multiply
    580,018x = 816,806 × 816,806
  4. Step 4: Simplify right side
    580,018x = 667,172,041,636
  5. Step 5: Solve for x
    x = 667,172,041,636/580,018
  6. Step 6: Final answer
    x = 1,150,260.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.