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Finding the Third Proportional to 375,634.50 and 835,257

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Solution

The third proportional to 375,634.50 and 835,257 is: 1,857,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,634.50 : 835,257 = 835,257 : x
  2. Step 2: Convert to fraction form
    375,634.50/835,257 = 835,257/x
  3. Step 3: Cross multiply
    375,634.50x = 835,257 × 835,257
  4. Step 4: Simplify right side
    375,634.50x = 697,654,256,049
  5. Step 5: Solve for x
    x = 697,654,256,049/375,634.50
  6. Step 6: Final answer
    x = 1,857,268.85

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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.