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Finding the Third Proportional to 434,322 and 664,400

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Solution

The third proportional to 434,322 and 664,400 is: 1,016,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,322 : 664,400 = 664,400 : x
  2. Step 2: Convert to fraction form
    434,322/664,400 = 664,400/x
  3. Step 3: Cross multiply
    434,322x = 664,400 × 664,400
  4. Step 4: Simplify right side
    434,322x = 441,427,360,000
  5. Step 5: Solve for x
    x = 441,427,360,000/434,322
  6. Step 6: Final answer
    x = 1,016,359.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.