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Finding the Third Proportional to 208,545 and 449,556

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Solution

The third proportional to 208,545 and 449,556 is: 969,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,545 : 449,556 = 449,556 : x
  2. Step 2: Convert to fraction form
    208,545/449,556 = 449,556/x
  3. Step 3: Cross multiply
    208,545x = 449,556 × 449,556
  4. Step 4: Simplify right side
    208,545x = 202,100,597,136
  5. Step 5: Solve for x
    x = 202,100,597,136/208,545
  6. Step 6: Final answer
    x = 969,098.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.