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Finding the Third Proportional to 519,344.16 and 776,940.29

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Solution

The third proportional to 519,344.16 and 776,940.29 is: 1,162,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,344.16 : 776,940.29 = 776,940.29 : x
  2. Step 2: Convert to fraction form
    519,344.16/776,940.29 = 776,940.29/x
  3. Step 3: Cross multiply
    519,344.16x = 776,940.29 × 776,940.29
  4. Step 4: Simplify right side
    519,344.16x = 603,636,218,838.37
  5. Step 5: Solve for x
    x = 603,636,218,838.37/519,344.16
  6. Step 6: Final answer
    x = 1,162,304.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.