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Finding the Third Proportional to 263,912 and 575,184

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Solution

The third proportional to 263,912 and 575,184 is: 1,253,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,912 : 575,184 = 575,184 : x
  2. Step 2: Convert to fraction form
    263,912/575,184 = 575,184/x
  3. Step 3: Cross multiply
    263,912x = 575,184 × 575,184
  4. Step 4: Simplify right side
    263,912x = 330,836,633,856
  5. Step 5: Solve for x
    x = 330,836,633,856/263,912
  6. Step 6: Final answer
    x = 1,253,586.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.