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Finding the Third Proportional to 216,610 and 450,554

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Solution

The third proportional to 216,610 and 450,554 is: 937,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,610 : 450,554 = 450,554 : x
  2. Step 2: Convert to fraction form
    216,610/450,554 = 450,554/x
  3. Step 3: Cross multiply
    216,610x = 450,554 × 450,554
  4. Step 4: Simplify right side
    216,610x = 202,998,906,916
  5. Step 5: Solve for x
    x = 202,998,906,916/216,610
  6. Step 6: Final answer
    x = 937,163.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.