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Finding the Third Proportional to 262,164 and 568,824

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Solution

The third proportional to 262,164 and 568,824 is: 1,234,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,164 : 568,824 = 568,824 : x
  2. Step 2: Convert to fraction form
    262,164/568,824 = 568,824/x
  3. Step 3: Cross multiply
    262,164x = 568,824 × 568,824
  4. Step 4: Simplify right side
    262,164x = 323,560,742,976
  5. Step 5: Solve for x
    x = 323,560,742,976/262,164
  6. Step 6: Final answer
    x = 1,234,192.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.