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Finding the Third Proportional to 259,804.50 and 413,719.50

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Solution

The third proportional to 259,804.50 and 413,719.50 is: 658,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,804.50 : 413,719.50 = 413,719.50 : x
  2. Step 2: Convert to fraction form
    259,804.50/413,719.50 = 413,719.50/x
  3. Step 3: Cross multiply
    259,804.50x = 413,719.50 × 413,719.50
  4. Step 4: Simplify right side
    259,804.50x = 171,163,824,680.25
  5. Step 5: Solve for x
    x = 171,163,824,680.25/259,804.50
  6. Step 6: Final answer
    x = 658,817.78

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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.