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Finding the Third Proportional to 216,612 and 452,898

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Solution

The third proportional to 216,612 and 452,898 is: 946,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,612 : 452,898 = 452,898 : x
  2. Step 2: Convert to fraction form
    216,612/452,898 = 452,898/x
  3. Step 3: Cross multiply
    216,612x = 452,898 × 452,898
  4. Step 4: Simplify right side
    216,612x = 205,116,598,404
  5. Step 5: Solve for x
    x = 205,116,598,404/216,612
  6. Step 6: Final answer
    x = 946,930.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.