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Finding the Third Proportional to 216,614 and 452,902

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Solution

The third proportional to 216,614 and 452,902 is: 946,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,614 : 452,902 = 452,902 : x
  2. Step 2: Convert to fraction form
    216,614/452,902 = 452,902/x
  3. Step 3: Cross multiply
    216,614x = 452,902 × 452,902
  4. Step 4: Simplify right side
    216,614x = 205,120,221,604
  5. Step 5: Solve for x
    x = 205,120,221,604/216,614
  6. Step 6: Final answer
    x = 946,938.89

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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.