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Finding the Third Proportional to 284,674 and 658,949

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Solution

The third proportional to 284,674 and 658,949 is: 1,525,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,674 : 658,949 = 658,949 : x
  2. Step 2: Convert to fraction form
    284,674/658,949 = 658,949/x
  3. Step 3: Cross multiply
    284,674x = 658,949 × 658,949
  4. Step 4: Simplify right side
    284,674x = 434,213,784,601
  5. Step 5: Solve for x
    x = 434,213,784,601/284,674
  6. Step 6: Final answer
    x = 1,525,301.87

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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.