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Finding the Third Proportional to 329,941.69 and 722,947.78

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Solution

The third proportional to 329,941.69 and 722,947.78 is: 1,584,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,941.69 : 722,947.78 = 722,947.78 : x
  2. Step 2: Convert to fraction form
    329,941.69/722,947.78 = 722,947.78/x
  3. Step 3: Cross multiply
    329,941.69x = 722,947.78 × 722,947.78
  4. Step 4: Simplify right side
    329,941.69x = 522,653,494,414.30
  5. Step 5: Solve for x
    x = 522,653,494,414.30/329,941.69
  6. Step 6: Final answer
    x = 1,584,078.38

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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.