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Finding the Third Proportional to 208,497 and 449,418

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Solution

The third proportional to 208,497 and 449,418 is: 968,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,497 : 449,418 = 449,418 : x
  2. Step 2: Convert to fraction form
    208,497/449,418 = 449,418/x
  3. Step 3: Cross multiply
    208,497x = 449,418 × 449,418
  4. Step 4: Simplify right side
    208,497x = 201,976,538,724
  5. Step 5: Solve for x
    x = 201,976,538,724/208,497
  6. Step 6: Final answer
    x = 968,726.35

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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.