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Finding the Third Proportional to 208,714 and 451,460

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Solution

The third proportional to 208,714 and 451,460 is: 976,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,714 : 451,460 = 451,460 : x
  2. Step 2: Convert to fraction form
    208,714/451,460 = 451,460/x
  3. Step 3: Cross multiply
    208,714x = 451,460 × 451,460
  4. Step 4: Simplify right side
    208,714x = 203,816,131,600
  5. Step 5: Solve for x
    x = 203,816,131,600/208,714
  6. Step 6: Final answer
    x = 976,533.11

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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.