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Finding the Third Proportional to 208,916 and 428,896

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Solution

The third proportional to 208,916 and 428,896 is: 880,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916 : 428,896 = 428,896 : x
  2. Step 2: Convert to fraction form
    208,916/428,896 = 428,896/x
  3. Step 3: Cross multiply
    208,916x = 428,896 × 428,896
  4. Step 4: Simplify right side
    208,916x = 183,951,778,816
  5. Step 5: Solve for x
    x = 183,951,778,816/208,916
  6. Step 6: Final answer
    x = 880,505.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.