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Finding the Third Proportional to 244,674 and 539,017

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Solution

The third proportional to 244,674 and 539,017 is: 1,187,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,674 : 539,017 = 539,017 : x
  2. Step 2: Convert to fraction form
    244,674/539,017 = 539,017/x
  3. Step 3: Cross multiply
    244,674x = 539,017 × 539,017
  4. Step 4: Simplify right side
    244,674x = 290,539,326,289
  5. Step 5: Solve for x
    x = 290,539,326,289/244,674
  6. Step 6: Final answer
    x = 1,187,454.84

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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.