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Finding the Third Proportional to 580,012 and 816,798

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Solution

The third proportional to 580,012 and 816,798 is: 1,150,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,012 : 816,798 = 816,798 : x
  2. Step 2: Convert to fraction form
    580,012/816,798 = 816,798/x
  3. Step 3: Cross multiply
    580,012x = 816,798 × 816,798
  4. Step 4: Simplify right side
    580,012x = 667,158,972,804
  5. Step 5: Solve for x
    x = 667,158,972,804/580,012
  6. Step 6: Final answer
    x = 1,150,250.29

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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.