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Finding the Third Proportional to 244,808 and 534,544

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Solution

The third proportional to 244,808 and 534,544 is: 1,167,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,808 : 534,544 = 534,544 : x
  2. Step 2: Convert to fraction form
    244,808/534,544 = 534,544/x
  3. Step 3: Cross multiply
    244,808x = 534,544 × 534,544
  4. Step 4: Simplify right side
    244,808x = 285,737,287,936
  5. Step 5: Solve for x
    x = 285,737,287,936/244,808
  6. Step 6: Final answer
    x = 1,167,189.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.