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Finding the Third Proportional to 375,540 and 835,041

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Solution

The third proportional to 375,540 and 835,041 is: 1,856,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,540 : 835,041 = 835,041 : x
  2. Step 2: Convert to fraction form
    375,540/835,041 = 835,041/x
  3. Step 3: Cross multiply
    375,540x = 835,041 × 835,041
  4. Step 4: Simplify right side
    375,540x = 697,293,471,681
  5. Step 5: Solve for x
    x = 697,293,471,681/375,540
  6. Step 6: Final answer
    x = 1,856,775.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.