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Finding the Third Proportional to 327,850 and 521,313

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Solution

The third proportional to 327,850 and 521,313 is: 828,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,850 : 521,313 = 521,313 : x
  2. Step 2: Convert to fraction form
    327,850/521,313 = 521,313/x
  3. Step 3: Cross multiply
    327,850x = 521,313 × 521,313
  4. Step 4: Simplify right side
    327,850x = 271,767,243,969
  5. Step 5: Solve for x
    x = 271,767,243,969/327,850
  6. Step 6: Final answer
    x = 828,937.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.