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Finding the Third Proportional to 400,236 and 884,484

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Solution

The third proportional to 400,236 and 884,484 is: 1,954,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,236 : 884,484 = 884,484 : x
  2. Step 2: Convert to fraction form
    400,236/884,484 = 884,484/x
  3. Step 3: Cross multiply
    400,236x = 884,484 × 884,484
  4. Step 4: Simplify right side
    400,236x = 782,311,946,256
  5. Step 5: Solve for x
    x = 782,311,946,256/400,236
  6. Step 6: Final answer
    x = 1,954,626.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.