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Finding the Third Proportional to 188,490.50 and 406,503

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Solution

The third proportional to 188,490.50 and 406,503 is: 876,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,490.50 : 406,503 = 406,503 : x
  2. Step 2: Convert to fraction form
    188,490.50/406,503 = 406,503/x
  3. Step 3: Cross multiply
    188,490.50x = 406,503 × 406,503
  4. Step 4: Simplify right side
    188,490.50x = 165,244,689,009
  5. Step 5: Solve for x
    x = 165,244,689,009/188,490.50
  6. Step 6: Final answer
    x = 876,673.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.