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Finding the Third Proportional to 216,306 and 462,504

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Solution

The third proportional to 216,306 and 462,504 is: 988,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,306 : 462,504 = 462,504 : x
  2. Step 2: Convert to fraction form
    216,306/462,504 = 462,504/x
  3. Step 3: Cross multiply
    216,306x = 462,504 × 462,504
  4. Step 4: Simplify right side
    216,306x = 213,909,950,016
  5. Step 5: Solve for x
    x = 213,909,950,016/216,306
  6. Step 6: Final answer
    x = 988,922.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.