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Finding the Third Proportional to 375,643 and 835,274

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Solution

The third proportional to 375,643 and 835,274 is: 1,857,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,643 : 835,274 = 835,274 : x
  2. Step 2: Convert to fraction form
    375,643/835,274 = 835,274/x
  3. Step 3: Cross multiply
    375,643x = 835,274 × 835,274
  4. Step 4: Simplify right side
    375,643x = 697,682,655,076
  5. Step 5: Solve for x
    x = 697,682,655,076/375,643
  6. Step 6: Final answer
    x = 1,857,302.43

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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.