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Finding the Third Proportional to 263,289.38 and 578,063.25

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Solution

The third proportional to 263,289.38 and 578,063.25 is: 1,269,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,289.38 : 578,063.25 = 578,063.25 : x
  2. Step 2: Convert to fraction form
    263,289.38/578,063.25 = 578,063.25/x
  3. Step 3: Cross multiply
    263,289.38x = 578,063.25 × 578,063.25
  4. Step 4: Simplify right side
    263,289.38x = 334,157,121,000.56
  5. Step 5: Solve for x
    x = 334,157,121,000.56/263,289.38
  6. Step 6: Final answer
    x = 1,269,162.95

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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.