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Finding the Third Proportional to 444,230 and 682,386

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Solution

The third proportional to 444,230 and 682,386 is: 1,048,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,230 : 682,386 = 682,386 : x
  2. Step 2: Convert to fraction form
    444,230/682,386 = 682,386/x
  3. Step 3: Cross multiply
    444,230x = 682,386 × 682,386
  4. Step 4: Simplify right side
    444,230x = 465,650,652,996
  5. Step 5: Solve for x
    x = 465,650,652,996/444,230
  6. Step 6: Final answer
    x = 1,048,219.74

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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.