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Finding the Third Proportional to 327,712 and 521,088

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Solution

The third proportional to 327,712 and 521,088 is: 828,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,712 : 521,088 = 521,088 : x
  2. Step 2: Convert to fraction form
    327,712/521,088 = 521,088/x
  3. Step 3: Cross multiply
    327,712x = 521,088 × 521,088
  4. Step 4: Simplify right side
    327,712x = 271,532,703,744
  5. Step 5: Solve for x
    x = 271,532,703,744/327,712
  6. Step 6: Final answer
    x = 828,571.13

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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.