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Finding the Third Proportional to 332,826.75 and 729,007.88

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Solution

The third proportional to 332,826.75 and 729,007.88 is: 1,596,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,826.75 : 729,007.88 = 729,007.88 : x
  2. Step 2: Convert to fraction form
    332,826.75/729,007.88 = 729,007.88/x
  3. Step 3: Cross multiply
    332,826.75x = 729,007.88 × 729,007.88
  4. Step 4: Simplify right side
    332,826.75x = 531,452,481,812.02
  5. Step 5: Solve for x
    x = 531,452,481,812.02/332,826.75
  6. Step 6: Final answer
    x = 1,596,784.16

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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.