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Finding the Third Proportional to 208,124 and 447,844

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Solution

The third proportional to 208,124 and 447,844 is: 963,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,124 : 447,844 = 447,844 : x
  2. Step 2: Convert to fraction form
    208,124/447,844 = 447,844/x
  3. Step 3: Cross multiply
    208,124x = 447,844 × 447,844
  4. Step 4: Simplify right side
    208,124x = 200,564,248,336
  5. Step 5: Solve for x
    x = 200,564,248,336/208,124
  6. Step 6: Final answer
    x = 963,676.69

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