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Finding the Third Proportional to 443,496 and 682,740

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Solution

The third proportional to 443,496 and 682,740 is: 1,051,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,496 : 682,740 = 682,740 : x
  2. Step 2: Convert to fraction form
    443,496/682,740 = 682,740/x
  3. Step 3: Cross multiply
    443,496x = 682,740 × 682,740
  4. Step 4: Simplify right side
    443,496x = 466,133,907,600
  5. Step 5: Solve for x
    x = 466,133,907,600/443,496
  6. Step 6: Final answer
    x = 1,051,044.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.