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Finding the Third Proportional to 543,134.13 and 821,691.75

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Solution

The third proportional to 543,134.13 and 821,691.75 is: 1,243,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,134.13 : 821,691.75 = 821,691.75 : x
  2. Step 2: Convert to fraction form
    543,134.13/821,691.75 = 821,691.75/x
  3. Step 3: Cross multiply
    543,134.13x = 821,691.75 × 821,691.75
  4. Step 4: Simplify right side
    543,134.13x = 675,177,332,018.06
  5. Step 5: Solve for x
    x = 675,177,332,018.06/543,134.13
  6. Step 6: Final answer
    x = 1,243,113.44

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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.