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Finding the Third Proportional to 244,672 and 539,014

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Solution

The third proportional to 244,672 and 539,014 is: 1,187,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,672 : 539,014 = 539,014 : x
  2. Step 2: Convert to fraction form
    244,672/539,014 = 539,014/x
  3. Step 3: Cross multiply
    244,672x = 539,014 × 539,014
  4. Step 4: Simplify right side
    244,672x = 290,536,092,196
  5. Step 5: Solve for x
    x = 290,536,092,196/244,672
  6. Step 6: Final answer
    x = 1,187,451.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.