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Finding the Third Proportional to 244,540 and 515,623

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Solution

The third proportional to 244,540 and 515,623 is: 1,087,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,540 : 515,623 = 515,623 : x
  2. Step 2: Convert to fraction form
    244,540/515,623 = 515,623/x
  3. Step 3: Cross multiply
    244,540x = 515,623 × 515,623
  4. Step 4: Simplify right side
    244,540x = 265,867,078,129
  5. Step 5: Solve for x
    x = 265,867,078,129/244,540
  6. Step 6: Final answer
    x = 1,087,213.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.