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Finding the Third Proportional to 327,740 and 448,534

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Solution

The third proportional to 327,740 and 448,534 is: 613,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,740 : 448,534 = 448,534 : x
  2. Step 2: Convert to fraction form
    327,740/448,534 = 448,534/x
  3. Step 3: Cross multiply
    327,740x = 448,534 × 448,534
  4. Step 4: Simplify right side
    327,740x = 201,182,749,156
  5. Step 5: Solve for x
    x = 201,182,749,156/327,740
  6. Step 6: Final answer
    x = 613,848.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.