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Finding the Third Proportional to 208,466 and 449,980

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Solution

The third proportional to 208,466 and 449,980 is: 971,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,466 : 449,980 = 449,980 : x
  2. Step 2: Convert to fraction form
    208,466/449,980 = 449,980/x
  3. Step 3: Cross multiply
    208,466x = 449,980 × 449,980
  4. Step 4: Simplify right side
    208,466x = 202,482,000,400
  5. Step 5: Solve for x
    x = 202,482,000,400/208,466
  6. Step 6: Final answer
    x = 971,295.08

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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.