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Finding the Third Proportional to 296,880.75 and 647,043.75

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Solution

The third proportional to 296,880.75 and 647,043.75 is: 1,410,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,880.75 : 647,043.75 = 647,043.75 : x
  2. Step 2: Convert to fraction form
    296,880.75/647,043.75 = 647,043.75/x
  3. Step 3: Cross multiply
    296,880.75x = 647,043.75 × 647,043.75
  4. Step 4: Simplify right side
    296,880.75x = 418,665,614,414.06
  5. Step 5: Solve for x
    x = 418,665,614,414.06/296,880.75
  6. Step 6: Final answer
    x = 1,410,214.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.