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Finding the Third Proportional to 217,988 and 465,544

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Solution

The third proportional to 217,988 and 465,544 is: 994,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,988 : 465,544 = 465,544 : x
  2. Step 2: Convert to fraction form
    217,988/465,544 = 465,544/x
  3. Step 3: Cross multiply
    217,988x = 465,544 × 465,544
  4. Step 4: Simplify right side
    217,988x = 216,731,215,936
  5. Step 5: Solve for x
    x = 216,731,215,936/217,988
  6. Step 6: Final answer
    x = 994,234.62

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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.