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Finding the Third Proportional to 241,244 and 514,549

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Solution

The third proportional to 241,244 and 514,549 is: 1,097,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,244 : 514,549 = 514,549 : x
  2. Step 2: Convert to fraction form
    241,244/514,549 = 514,549/x
  3. Step 3: Cross multiply
    241,244x = 514,549 × 514,549
  4. Step 4: Simplify right side
    241,244x = 264,760,673,401
  5. Step 5: Solve for x
    x = 264,760,673,401/241,244
  6. Step 6: Final answer
    x = 1,097,480.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.