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Finding the Third Proportional to 447,564 and 683,034

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Solution

The third proportional to 447,564 and 683,034 is: 1,042,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,564 : 683,034 = 683,034 : x
  2. Step 2: Convert to fraction form
    447,564/683,034 = 683,034/x
  3. Step 3: Cross multiply
    447,564x = 683,034 × 683,034
  4. Step 4: Simplify right side
    447,564x = 466,535,445,156
  5. Step 5: Solve for x
    x = 466,535,445,156/447,564
  6. Step 6: Final answer
    x = 1,042,388.23

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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.