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Finding the Third Proportional to 327,476 and 507,198

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Solution

The third proportional to 327,476 and 507,198 is: 785,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,476 : 507,198 = 507,198 : x
  2. Step 2: Convert to fraction form
    327,476/507,198 = 507,198/x
  3. Step 3: Cross multiply
    327,476x = 507,198 × 507,198
  4. Step 4: Simplify right side
    327,476x = 257,249,811,204
  5. Step 5: Solve for x
    x = 257,249,811,204/327,476
  6. Step 6: Final answer
    x = 785,553.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.