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Finding the Third Proportional to 519,554 and 801,219

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Solution

The third proportional to 519,554 and 801,219 is: 1,235,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,554 : 801,219 = 801,219 : x
  2. Step 2: Convert to fraction form
    519,554/801,219 = 801,219/x
  3. Step 3: Cross multiply
    519,554x = 801,219 × 801,219
  4. Step 4: Simplify right side
    519,554x = 641,951,885,961
  5. Step 5: Solve for x
    x = 641,951,885,961/519,554
  6. Step 6: Final answer
    x = 1,235,582.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.