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Finding the Third Proportional to 447,232 and 664,760

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Solution

The third proportional to 447,232 and 664,760 is: 988,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,232 : 664,760 = 664,760 : x
  2. Step 2: Convert to fraction form
    447,232/664,760 = 664,760/x
  3. Step 3: Cross multiply
    447,232x = 664,760 × 664,760
  4. Step 4: Simplify right side
    447,232x = 441,905,857,600
  5. Step 5: Solve for x
    x = 441,905,857,600/447,232
  6. Step 6: Final answer
    x = 988,090.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.