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Finding the Third Proportional to 543,177 and 798,117.75

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Solution

The third proportional to 543,177 and 798,117.75 is: 1,172,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,177 : 798,117.75 = 798,117.75 : x
  2. Step 2: Convert to fraction form
    543,177/798,117.75 = 798,117.75/x
  3. Step 3: Cross multiply
    543,177x = 798,117.75 × 798,117.75
  4. Step 4: Simplify right side
    543,177x = 636,991,942,865.06
  5. Step 5: Solve for x
    x = 636,991,942,865.06/543,177
  6. Step 6: Final answer
    x = 1,172,715.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.