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Finding the Third Proportional to 263,210 and 578,884

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Solution

The third proportional to 263,210 and 578,884 is: 1,273,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,210 : 578,884 = 578,884 : x
  2. Step 2: Convert to fraction form
    263,210/578,884 = 578,884/x
  3. Step 3: Cross multiply
    263,210x = 578,884 × 578,884
  4. Step 4: Simplify right side
    263,210x = 335,106,685,456
  5. Step 5: Solve for x
    x = 335,106,685,456/263,210
  6. Step 6: Final answer
    x = 1,273,153.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.