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Finding the Third Proportional to 194,866 and 424,997

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Solution

The third proportional to 194,866 and 424,997 is: 926,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,866 : 424,997 = 424,997 : x
  2. Step 2: Convert to fraction form
    194,866/424,997 = 424,997/x
  3. Step 3: Cross multiply
    194,866x = 424,997 × 424,997
  4. Step 4: Simplify right side
    194,866x = 180,622,450,009
  5. Step 5: Solve for x
    x = 180,622,450,009/194,866
  6. Step 6: Final answer
    x = 926,905.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.