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Finding the Third Proportional to 375,642 and 835,272

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Solution

The third proportional to 375,642 and 835,272 is: 1,857,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,642 : 835,272 = 835,272 : x
  2. Step 2: Convert to fraction form
    375,642/835,272 = 835,272/x
  3. Step 3: Cross multiply
    375,642x = 835,272 × 835,272
  4. Step 4: Simplify right side
    375,642x = 697,679,313,984
  5. Step 5: Solve for x
    x = 697,679,313,984/375,642
  6. Step 6: Final answer
    x = 1,857,298.48

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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.