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Finding the Third Proportional to 366,808.50 and 519,432.75

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Solution

The third proportional to 366,808.50 and 519,432.75 is: 735,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,808.50 : 519,432.75 = 519,432.75 : x
  2. Step 2: Convert to fraction form
    366,808.50/519,432.75 = 519,432.75/x
  3. Step 3: Cross multiply
    366,808.50x = 519,432.75 × 519,432.75
  4. Step 4: Simplify right side
    366,808.50x = 269,810,381,772.56
  5. Step 5: Solve for x
    x = 269,810,381,772.56/366,808.50
  6. Step 6: Final answer
    x = 735,561.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.