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Finding the Third Proportional to 208,099 and 447,780

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Solution

The third proportional to 208,099 and 447,780 is: 963,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099 : 447,780 = 447,780 : x
  2. Step 2: Convert to fraction form
    208,099/447,780 = 447,780/x
  3. Step 3: Cross multiply
    208,099x = 447,780 × 447,780
  4. Step 4: Simplify right side
    208,099x = 200,506,928,400
  5. Step 5: Solve for x
    x = 200,506,928,400/208,099
  6. Step 6: Final answer
    x = 963,517.02

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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.