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Finding the Third Proportional to 201,684 and 424,008

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Solution

The third proportional to 201,684 and 424,008 is: 891,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,684 : 424,008 = 424,008 : x
  2. Step 2: Convert to fraction form
    201,684/424,008 = 424,008/x
  3. Step 3: Cross multiply
    201,684x = 424,008 × 424,008
  4. Step 4: Simplify right side
    201,684x = 179,782,784,064
  5. Step 5: Solve for x
    x = 179,782,784,064/201,684
  6. Step 6: Final answer
    x = 891,408.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.