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Finding the Third Proportional to 202,521 and 468,849

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Solution

The third proportional to 202,521 and 468,849 is: 1,085,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,521 : 468,849 = 468,849 : x
  2. Step 2: Convert to fraction form
    202,521/468,849 = 468,849/x
  3. Step 3: Cross multiply
    202,521x = 468,849 × 468,849
  4. Step 4: Simplify right side
    202,521x = 219,819,384,801
  5. Step 5: Solve for x
    x = 219,819,384,801/202,521
  6. Step 6: Final answer
    x = 1,085,415.26

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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.