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Finding the Third Proportional to 208,606 and 448,661

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Solution

The third proportional to 208,606 and 448,661 is: 964,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,606 : 448,661 = 448,661 : x
  2. Step 2: Convert to fraction form
    208,606/448,661 = 448,661/x
  3. Step 3: Cross multiply
    208,606x = 448,661 × 448,661
  4. Step 4: Simplify right side
    208,606x = 201,296,692,921
  5. Step 5: Solve for x
    x = 201,296,692,921/208,606
  6. Step 6: Final answer
    x = 964,961.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.