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Finding the Third Proportional to 362,089.50 and 547,794.75

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Solution

The third proportional to 362,089.50 and 547,794.75 is: 828,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,089.50 : 547,794.75 = 547,794.75 : x
  2. Step 2: Convert to fraction form
    362,089.50/547,794.75 = 547,794.75/x
  3. Step 3: Cross multiply
    362,089.50x = 547,794.75 × 547,794.75
  4. Step 4: Simplify right side
    362,089.50x = 300,079,088,127.56
  5. Step 5: Solve for x
    x = 300,079,088,127.56/362,089.50
  6. Step 6: Final answer
    x = 828,742.86

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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.