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Finding the Third Proportional to 375,950 and 791,320

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Solution

The third proportional to 375,950 and 791,320 is: 1,665,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,950 : 791,320 = 791,320 : x
  2. Step 2: Convert to fraction form
    375,950/791,320 = 791,320/x
  3. Step 3: Cross multiply
    375,950x = 791,320 × 791,320
  4. Step 4: Simplify right side
    375,950x = 626,187,342,400
  5. Step 5: Solve for x
    x = 626,187,342,400/375,950
  6. Step 6: Final answer
    x = 1,665,613.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.