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Finding the Third Proportional to 259,500 and 538,440

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Solution

The third proportional to 259,500 and 538,440 is: 1,117,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,500 : 538,440 = 538,440 : x
  2. Step 2: Convert to fraction form
    259,500/538,440 = 538,440/x
  3. Step 3: Cross multiply
    259,500x = 538,440 × 538,440
  4. Step 4: Simplify right side
    259,500x = 289,917,633,600
  5. Step 5: Solve for x
    x = 289,917,633,600/259,500
  6. Step 6: Final answer
    x = 1,117,216.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.