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Finding the Third Proportional to 358,279 and 541,451

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Solution

The third proportional to 358,279 and 541,451 is: 818,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,279 : 541,451 = 541,451 : x
  2. Step 2: Convert to fraction form
    358,279/541,451 = 541,451/x
  3. Step 3: Cross multiply
    358,279x = 541,451 × 541,451
  4. Step 4: Simplify right side
    358,279x = 293,169,185,401
  5. Step 5: Solve for x
    x = 293,169,185,401/358,279
  6. Step 6: Final answer
    x = 818,270.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.