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Finding the Third Proportional to 262,406 and 551,250

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Solution

The third proportional to 262,406 and 551,250 is: 1,158,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,406 : 551,250 = 551,250 : x
  2. Step 2: Convert to fraction form
    262,406/551,250 = 551,250/x
  3. Step 3: Cross multiply
    262,406x = 551,250 × 551,250
  4. Step 4: Simplify right side
    262,406x = 303,876,562,500
  5. Step 5: Solve for x
    x = 303,876,562,500/262,406
  6. Step 6: Final answer
    x = 1,158,039.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.