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Finding the Third Proportional to 216,614 and 450,562

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Solution

The third proportional to 216,614 and 450,562 is: 937,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,614 : 450,562 = 450,562 : x
  2. Step 2: Convert to fraction form
    216,614/450,562 = 450,562/x
  3. Step 3: Cross multiply
    216,614x = 450,562 × 450,562
  4. Step 4: Simplify right side
    216,614x = 203,006,115,844
  5. Step 5: Solve for x
    x = 203,006,115,844/216,614
  6. Step 6: Final answer
    x = 937,179.11

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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.