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Finding the Third Proportional to 259,632 and 392,256

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Solution

The third proportional to 259,632 and 392,256 is: 592,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,632 : 392,256 = 392,256 : x
  2. Step 2: Convert to fraction form
    259,632/392,256 = 392,256/x
  3. Step 3: Cross multiply
    259,632x = 392,256 × 392,256
  4. Step 4: Simplify right side
    259,632x = 153,864,769,536
  5. Step 5: Solve for x
    x = 153,864,769,536/259,632
  6. Step 6: Final answer
    x = 592,626.37

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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.