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Finding the Third Proportional to 216,934 and 468,960.50

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Solution

The third proportional to 216,934 and 468,960.50 is: 1,013,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,934 : 468,960.50 = 468,960.50 : x
  2. Step 2: Convert to fraction form
    216,934/468,960.50 = 468,960.50/x
  3. Step 3: Cross multiply
    216,934x = 468,960.50 × 468,960.50
  4. Step 4: Simplify right side
    216,934x = 219,923,950,560.25
  5. Step 5: Solve for x
    x = 219,923,950,560.25/216,934
  6. Step 6: Final answer
    x = 1,013,782.77

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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.