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Finding the Third Proportional to 216,780 and 463,608

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Solution

The third proportional to 216,780 and 463,608 is: 991,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,780 : 463,608 = 463,608 : x
  2. Step 2: Convert to fraction form
    216,780/463,608 = 463,608/x
  3. Step 3: Cross multiply
    216,780x = 463,608 × 463,608
  4. Step 4: Simplify right side
    216,780x = 214,932,377,664
  5. Step 5: Solve for x
    x = 214,932,377,664/216,780
  6. Step 6: Final answer
    x = 991,476.97

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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.