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Finding the Third Proportional to 327,752 and 500,376

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Solution

The third proportional to 327,752 and 500,376 is: 763,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,752 : 500,376 = 500,376 : x
  2. Step 2: Convert to fraction form
    327,752/500,376 = 500,376/x
  3. Step 3: Cross multiply
    327,752x = 500,376 × 500,376
  4. Step 4: Simplify right side
    327,752x = 250,376,141,376
  5. Step 5: Solve for x
    x = 250,376,141,376/327,752
  6. Step 6: Final answer
    x = 763,919.49

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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.