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Finding the Third Proportional to 262,234.97 and 414,436.50

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Solution

The third proportional to 262,234.97 and 414,436.50 is: 654,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,234.97 : 414,436.50 = 414,436.50 : x
  2. Step 2: Convert to fraction form
    262,234.97/414,436.50 = 414,436.50/x
  3. Step 3: Cross multiply
    262,234.97x = 414,436.50 × 414,436.50
  4. Step 4: Simplify right side
    262,234.97x = 171,757,612,532.25
  5. Step 5: Solve for x
    x = 171,757,612,532.25/262,234.97
  6. Step 6: Final answer
    x = 654,976.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.