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Finding the Third Proportional to 244,147 and 534,841

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Solution

The third proportional to 244,147 and 534,841 is: 1,171,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,147 : 534,841 = 534,841 : x
  2. Step 2: Convert to fraction form
    244,147/534,841 = 534,841/x
  3. Step 3: Cross multiply
    244,147x = 534,841 × 534,841
  4. Step 4: Simplify right side
    244,147x = 286,054,895,281
  5. Step 5: Solve for x
    x = 286,054,895,281/244,147
  6. Step 6: Final answer
    x = 1,171,650.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.