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Finding the Third Proportional to 201,954 and 424,800

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Solution

The third proportional to 201,954 and 424,800 is: 893,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,954 : 424,800 = 424,800 : x
  2. Step 2: Convert to fraction form
    201,954/424,800 = 424,800/x
  3. Step 3: Cross multiply
    201,954x = 424,800 × 424,800
  4. Step 4: Simplify right side
    201,954x = 180,455,040,000
  5. Step 5: Solve for x
    x = 180,455,040,000/201,954
  6. Step 6: Final answer
    x = 893,545.26

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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.