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Finding the Third Proportional to 545,826 and 827,219

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Solution

The third proportional to 545,826 and 827,219 is: 1,253,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,826 : 827,219 = 827,219 : x
  2. Step 2: Convert to fraction form
    545,826/827,219 = 827,219/x
  3. Step 3: Cross multiply
    545,826x = 827,219 × 827,219
  4. Step 4: Simplify right side
    545,826x = 684,291,273,961
  5. Step 5: Solve for x
    x = 684,291,273,961/545,826
  6. Step 6: Final answer
    x = 1,253,680.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.