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Finding the Third Proportional to 202,790 and 469,444

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Solution

The third proportional to 202,790 and 469,444 is: 1,086,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,790 : 469,444 = 469,444 : x
  2. Step 2: Convert to fraction form
    202,790/469,444 = 469,444/x
  3. Step 3: Cross multiply
    202,790x = 469,444 × 469,444
  4. Step 4: Simplify right side
    202,790x = 220,377,669,136
  5. Step 5: Solve for x
    x = 220,377,669,136/202,790
  6. Step 6: Final answer
    x = 1,086,728.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.