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Finding the Third Proportional to 333,863.25 and 787,335.38

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Solution

The third proportional to 333,863.25 and 787,335.38 is: 1,856,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,863.25 : 787,335.38 = 787,335.38 : x
  2. Step 2: Convert to fraction form
    333,863.25/787,335.38 = 787,335.38/x
  3. Step 3: Cross multiply
    333,863.25x = 787,335.38 × 787,335.38
  4. Step 4: Simplify right side
    333,863.25x = 619,896,992,726.39
  5. Step 5: Solve for x
    x = 619,896,992,726.39/333,863.25
  6. Step 6: Final answer
    x = 1,856,739.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.