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Finding the Third Proportional to 381,479.63 and 589,755.94

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Solution

The third proportional to 381,479.63 and 589,755.94 is: 911,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,479.63 : 589,755.94 = 589,755.94 : x
  2. Step 2: Convert to fraction form
    381,479.63/589,755.94 = 589,755.94/x
  3. Step 3: Cross multiply
    381,479.63x = 589,755.94 × 589,755.94
  4. Step 4: Simplify right side
    381,479.63x = 347,812,065,816.50
  5. Step 5: Solve for x
    x = 347,812,065,816.50/381,479.63
  6. Step 6: Final answer
    x = 911,744.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.