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Finding the Third Proportional to 208,215 and 447,997

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Solution

The third proportional to 208,215 and 447,997 is: 963,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,215 : 447,997 = 447,997 : x
  2. Step 2: Convert to fraction form
    208,215/447,997 = 447,997/x
  3. Step 3: Cross multiply
    208,215x = 447,997 × 447,997
  4. Step 4: Simplify right side
    208,215x = 200,701,312,009
  5. Step 5: Solve for x
    x = 200,701,312,009/208,215
  6. Step 6: Final answer
    x = 963,913.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.