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Finding the Third Proportional to 327,798 and 494,709

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Solution

The third proportional to 327,798 and 494,709 is: 746,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,798 : 494,709 = 494,709 : x
  2. Step 2: Convert to fraction form
    327,798/494,709 = 494,709/x
  3. Step 3: Cross multiply
    327,798x = 494,709 × 494,709
  4. Step 4: Simplify right side
    327,798x = 244,736,994,681
  5. Step 5: Solve for x
    x = 244,736,994,681/327,798
  6. Step 6: Final answer
    x = 746,609.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.