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Finding the Third Proportional to 263,176 and 578,836

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Solution

The third proportional to 263,176 and 578,836 is: 1,273,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,176 : 578,836 = 578,836 : x
  2. Step 2: Convert to fraction form
    263,176/578,836 = 578,836/x
  3. Step 3: Cross multiply
    263,176x = 578,836 × 578,836
  4. Step 4: Simplify right side
    263,176x = 335,051,114,896
  5. Step 5: Solve for x
    x = 335,051,114,896/263,176
  6. Step 6: Final answer
    x = 1,273,106.65

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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.