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Finding the Third Proportional to 443,249 and 938,563

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Solution

The third proportional to 443,249 and 938,563 is: 1,987,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,249 : 938,563 = 938,563 : x
  2. Step 2: Convert to fraction form
    443,249/938,563 = 938,563/x
  3. Step 3: Cross multiply
    443,249x = 938,563 × 938,563
  4. Step 4: Simplify right side
    443,249x = 880,900,504,969
  5. Step 5: Solve for x
    x = 880,900,504,969/443,249
  6. Step 6: Final answer
    x = 1,987,371.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.