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Finding the Third Proportional to 259,640 and 392,268

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Solution

The third proportional to 259,640 and 392,268 is: 592,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,640 : 392,268 = 392,268 : x
  2. Step 2: Convert to fraction form
    259,640/392,268 = 392,268/x
  3. Step 3: Cross multiply
    259,640x = 392,268 × 392,268
  4. Step 4: Simplify right side
    259,640x = 153,874,183,824
  5. Step 5: Solve for x
    x = 153,874,183,824/259,640
  6. Step 6: Final answer
    x = 592,644.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.