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Finding the Third Proportional to 208,464 and 449,976

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Solution

The third proportional to 208,464 and 449,976 is: 971,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,464 : 449,976 = 449,976 : x
  2. Step 2: Convert to fraction form
    208,464/449,976 = 449,976/x
  3. Step 3: Cross multiply
    208,464x = 449,976 × 449,976
  4. Step 4: Simplify right side
    208,464x = 202,478,400,576
  5. Step 5: Solve for x
    x = 202,478,400,576/208,464
  6. Step 6: Final answer
    x = 971,287.13

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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.