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Finding the Third Proportional to 244,135.69 and 534,817.69

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Solution

The third proportional to 244,135.69 and 534,817.69 is: 1,171,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,135.69 : 534,817.69 = 534,817.69 : x
  2. Step 2: Convert to fraction form
    244,135.69/534,817.69 = 534,817.69/x
  3. Step 3: Cross multiply
    244,135.69x = 534,817.69 × 534,817.69
  4. Step 4: Simplify right side
    244,135.69x = 286,029,958,862.85
  5. Step 5: Solve for x
    x = 286,029,958,862.85/244,135.69
  6. Step 6: Final answer
    x = 1,171,602.41

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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.