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Finding the Third Proportional to 208,494 and 449,412

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Solution

The third proportional to 208,494 and 449,412 is: 968,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494 : 449,412 = 449,412 : x
  2. Step 2: Convert to fraction form
    208,494/449,412 = 449,412/x
  3. Step 3: Cross multiply
    208,494x = 449,412 × 449,412
  4. Step 4: Simplify right side
    208,494x = 201,971,145,744
  5. Step 5: Solve for x
    x = 201,971,145,744/208,494
  6. Step 6: Final answer
    x = 968,714.43

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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.