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Finding the Third Proportional to 543,133.88 and 821,691.38

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Solution

The third proportional to 543,133.88 and 821,691.38 is: 1,243,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,133.88 : 821,691.38 = 821,691.38 : x
  2. Step 2: Convert to fraction form
    543,133.88/821,691.38 = 821,691.38/x
  3. Step 3: Cross multiply
    543,133.88x = 821,691.38 × 821,691.38
  4. Step 4: Simplify right side
    543,133.88x = 675,176,715,749.39
  5. Step 5: Solve for x
    x = 675,176,715,749.39/543,133.88
  6. Step 6: Final answer
    x = 1,243,112.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.