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Finding the Third Proportional to 208,134 and 447,822

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Solution

The third proportional to 208,134 and 447,822 is: 963,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134 : 447,822 = 447,822 : x
  2. Step 2: Convert to fraction form
    208,134/447,822 = 447,822/x
  3. Step 3: Cross multiply
    208,134x = 447,822 × 447,822
  4. Step 4: Simplify right side
    208,134x = 200,544,543,684
  5. Step 5: Solve for x
    x = 200,544,543,684/208,134
  6. Step 6: Final answer
    x = 963,535.72

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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.