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Finding the Third Proportional to 443,652 and 681,939

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Solution

The third proportional to 443,652 and 681,939 is: 1,048,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,652 : 681,939 = 681,939 : x
  2. Step 2: Convert to fraction form
    443,652/681,939 = 681,939/x
  3. Step 3: Cross multiply
    443,652x = 681,939 × 681,939
  4. Step 4: Simplify right side
    443,652x = 465,040,799,721
  5. Step 5: Solve for x
    x = 465,040,799,721/443,652
  6. Step 6: Final answer
    x = 1,048,210.76

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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.