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Finding the Third Proportional to 202,516 and 468,839

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Solution

The third proportional to 202,516 and 468,839 is: 1,085,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,516 : 468,839 = 468,839 : x
  2. Step 2: Convert to fraction form
    202,516/468,839 = 468,839/x
  3. Step 3: Cross multiply
    202,516x = 468,839 × 468,839
  4. Step 4: Simplify right side
    202,516x = 219,810,007,921
  5. Step 5: Solve for x
    x = 219,810,007,921/202,516
  6. Step 6: Final answer
    x = 1,085,395.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.