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Finding the Third Proportional to 295,660.97 and 647,295.38

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Solution

The third proportional to 295,660.97 and 647,295.38 is: 1,417,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,660.97 : 647,295.38 = 647,295.38 : x
  2. Step 2: Convert to fraction form
    295,660.97/647,295.38 = 647,295.38/x
  3. Step 3: Cross multiply
    295,660.97x = 647,295.38 × 647,295.38
  4. Step 4: Simplify right side
    295,660.97x = 418,991,302,496.39
  5. Step 5: Solve for x
    x = 418,991,302,496.39/295,660.97
  6. Step 6: Final answer
    x = 1,417,134.31

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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.