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Finding the Third Proportional to 375,530 and 835,018

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Solution

The third proportional to 375,530 and 835,018 is: 1,856,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,530 : 835,018 = 835,018 : x
  2. Step 2: Convert to fraction form
    375,530/835,018 = 835,018/x
  3. Step 3: Cross multiply
    375,530x = 835,018 × 835,018
  4. Step 4: Simplify right side
    375,530x = 697,255,060,324
  5. Step 5: Solve for x
    x = 697,255,060,324/375,530
  6. Step 6: Final answer
    x = 1,856,722.66

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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.