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Finding the Third Proportional to 327,369 and 510,951

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Solution

The third proportional to 327,369 and 510,951 is: 797,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,369 : 510,951 = 510,951 : x
  2. Step 2: Convert to fraction form
    327,369/510,951 = 510,951/x
  3. Step 3: Cross multiply
    327,369x = 510,951 × 510,951
  4. Step 4: Simplify right side
    327,369x = 261,070,924,401
  5. Step 5: Solve for x
    x = 261,070,924,401/327,369
  6. Step 6: Final answer
    x = 797,482.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.