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Finding the Third Proportional to 358,276 and 541,446

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Solution

The third proportional to 358,276 and 541,446 is: 818,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,276 : 541,446 = 541,446 : x
  2. Step 2: Convert to fraction form
    358,276/541,446 = 541,446/x
  3. Step 3: Cross multiply
    358,276x = 541,446 × 541,446
  4. Step 4: Simplify right side
    358,276x = 293,163,770,916
  5. Step 5: Solve for x
    x = 293,163,770,916/358,276
  6. Step 6: Final answer
    x = 818,262.38

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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.