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Finding the Third Proportional to 252,806.63 and 541,596.38

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Solution

The third proportional to 252,806.63 and 541,596.38 is: 1,160,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,806.63 : 541,596.38 = 541,596.38 : x
  2. Step 2: Convert to fraction form
    252,806.63/541,596.38 = 541,596.38/x
  3. Step 3: Cross multiply
    252,806.63x = 541,596.38 × 541,596.38
  4. Step 4: Simplify right side
    252,806.63x = 293,326,633,413.14
  5. Step 5: Solve for x
    x = 293,326,633,413.14/252,806.63
  6. Step 6: Final answer
    x = 1,160,280.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.