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Finding the Third Proportional to 447,594 and 683,079

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Solution

The third proportional to 447,594 and 683,079 is: 1,042,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,594 : 683,079 = 683,079 : x
  2. Step 2: Convert to fraction form
    447,594/683,079 = 683,079/x
  3. Step 3: Cross multiply
    447,594x = 683,079 × 683,079
  4. Step 4: Simplify right side
    447,594x = 466,596,920,241
  5. Step 5: Solve for x
    x = 466,596,920,241/447,594
  6. Step 6: Final answer
    x = 1,042,455.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.