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Finding the Third Proportional to 400,225 and 874,322

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Solution

The third proportional to 400,225 and 874,322 is: 1,910,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,225 : 874,322 = 874,322 : x
  2. Step 2: Convert to fraction form
    400,225/874,322 = 874,322/x
  3. Step 3: Cross multiply
    400,225x = 874,322 × 874,322
  4. Step 4: Simplify right side
    400,225x = 764,438,959,684
  5. Step 5: Solve for x
    x = 764,438,959,684/400,225
  6. Step 6: Final answer
    x = 1,910,023.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.