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Finding the Third Proportional to 358,277 and 541,448

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Solution

The third proportional to 358,277 and 541,448 is: 818,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,277 : 541,448 = 541,448 : x
  2. Step 2: Convert to fraction form
    358,277/541,448 = 541,448/x
  3. Step 3: Cross multiply
    358,277x = 541,448 × 541,448
  4. Step 4: Simplify right side
    358,277x = 293,165,936,704
  5. Step 5: Solve for x
    x = 293,165,936,704/358,277
  6. Step 6: Final answer
    x = 818,266.14

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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.