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Finding the Third Proportional to 289,007.25 and 460,266

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Solution

The third proportional to 289,007.25 and 460,266 is: 733,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,007.25 : 460,266 = 460,266 : x
  2. Step 2: Convert to fraction form
    289,007.25/460,266 = 460,266/x
  3. Step 3: Cross multiply
    289,007.25x = 460,266 × 460,266
  4. Step 4: Simplify right side
    289,007.25x = 211,844,790,756
  5. Step 5: Solve for x
    x = 211,844,790,756/289,007.25
  6. Step 6: Final answer
    x = 733,008.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.