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Finding the Third Proportional to 275,946.43 and 404,834.20

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Solution

The third proportional to 275,946.43 and 404,834.20 is: 593,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,946.43 : 404,834.20 = 404,834.20 : x
  2. Step 2: Convert to fraction form
    275,946.43/404,834.20 = 404,834.20/x
  3. Step 3: Cross multiply
    275,946.43x = 404,834.20 × 404,834.20
  4. Step 4: Simplify right side
    275,946.43x = 163,890,732,019.85
  5. Step 5: Solve for x
    x = 163,890,732,019.85/275,946.43
  6. Step 6: Final answer
    x = 593,922.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.