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Finding the Third Proportional to 202,836 and 452,312

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Solution

The third proportional to 202,836 and 452,312 is: 1,008,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,836 : 452,312 = 452,312 : x
  2. Step 2: Convert to fraction form
    202,836/452,312 = 452,312/x
  3. Step 3: Cross multiply
    202,836x = 452,312 × 452,312
  4. Step 4: Simplify right side
    202,836x = 204,586,145,344
  5. Step 5: Solve for x
    x = 204,586,145,344/202,836
  6. Step 6: Final answer
    x = 1,008,628.38

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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.