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Finding the Third Proportional to 355,184 and 541,640

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Solution

The third proportional to 355,184 and 541,640 is: 825,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,184 : 541,640 = 541,640 : x
  2. Step 2: Convert to fraction form
    355,184/541,640 = 541,640/x
  3. Step 3: Cross multiply
    355,184x = 541,640 × 541,640
  4. Step 4: Simplify right side
    355,184x = 293,373,889,600
  5. Step 5: Solve for x
    x = 293,373,889,600/355,184
  6. Step 6: Final answer
    x = 825,977.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.