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Finding the Third Proportional to 202,689 and 444,294

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Solution

The third proportional to 202,689 and 444,294 is: 973,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,689 : 444,294 = 444,294 : x
  2. Step 2: Convert to fraction form
    202,689/444,294 = 444,294/x
  3. Step 3: Cross multiply
    202,689x = 444,294 × 444,294
  4. Step 4: Simplify right side
    202,689x = 197,397,158,436
  5. Step 5: Solve for x
    x = 197,397,158,436/202,689
  6. Step 6: Final answer
    x = 973,891.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.