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Finding the Third Proportional to 375,649 and 835,285

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Solution

The third proportional to 375,649 and 835,285 is: 1,857,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,649 : 835,285 = 835,285 : x
  2. Step 2: Convert to fraction form
    375,649/835,285 = 835,285/x
  3. Step 3: Cross multiply
    375,649x = 835,285 × 835,285
  4. Step 4: Simplify right side
    375,649x = 697,701,031,225
  5. Step 5: Solve for x
    x = 697,701,031,225/375,649
  6. Step 6: Final answer
    x = 1,857,321.68

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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.