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Finding the Third Proportional to 202,838 and 452,316

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Solution

The third proportional to 202,838 and 452,316 is: 1,008,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838 : 452,316 = 452,316 : x
  2. Step 2: Convert to fraction form
    202,838/452,316 = 452,316/x
  3. Step 3: Cross multiply
    202,838x = 452,316 × 452,316
  4. Step 4: Simplify right side
    202,838x = 204,589,763,856
  5. Step 5: Solve for x
    x = 204,589,763,856/202,838
  6. Step 6: Final answer
    x = 1,008,636.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.