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Finding the Third Proportional to 332,812.69 and 728,934.19

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Solution

The third proportional to 332,812.69 and 728,934.19 is: 1,596,528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,812.69 : 728,934.19 = 728,934.19 : x
  2. Step 2: Convert to fraction form
    332,812.69/728,934.19 = 728,934.19/x
  3. Step 3: Cross multiply
    332,812.69x = 728,934.19 × 728,934.19
  4. Step 4: Simplify right side
    332,812.69x = 531,345,049,706.29
  5. Step 5: Solve for x
    x = 531,345,049,706.29/332,812.69
  6. Step 6: Final answer
    x = 1,596,528.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.