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Finding the Third Proportional to 449,742 and 683,822

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Solution

The third proportional to 449,742 and 683,822 is: 1,039,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,742 : 683,822 = 683,822 : x
  2. Step 2: Convert to fraction form
    449,742/683,822 = 683,822/x
  3. Step 3: Cross multiply
    449,742x = 683,822 × 683,822
  4. Step 4: Simplify right side
    449,742x = 467,612,527,684
  5. Step 5: Solve for x
    x = 467,612,527,684/449,742
  6. Step 6: Final answer
    x = 1,039,735.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.