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Finding the Third Proportional to 210,696 and 462,608

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Solution

The third proportional to 210,696 and 462,608 is: 1,015,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,696 : 462,608 = 462,608 : x
  2. Step 2: Convert to fraction form
    210,696/462,608 = 462,608/x
  3. Step 3: Cross multiply
    210,696x = 462,608 × 462,608
  4. Step 4: Simplify right side
    210,696x = 214,006,161,664
  5. Step 5: Solve for x
    x = 214,006,161,664/210,696
  6. Step 6: Final answer
    x = 1,015,710.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.