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Finding the Third Proportional to 412,963.88 and 765,849.38

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Solution

The third proportional to 412,963.88 and 765,849.38 is: 1,420,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,963.88 : 765,849.38 = 765,849.38 : x
  2. Step 2: Convert to fraction form
    412,963.88/765,849.38 = 765,849.38/x
  3. Step 3: Cross multiply
    412,963.88x = 765,849.38 × 765,849.38
  4. Step 4: Simplify right side
    412,963.88x = 586,525,265,187.89
  5. Step 5: Solve for x
    x = 586,525,265,187.89/412,963.88
  6. Step 6: Final answer
    x = 1,420,282.26

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.