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Finding the Third Proportional to 327,456 and 507,168

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Solution

The third proportional to 327,456 and 507,168 is: 785,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,456 : 507,168 = 507,168 : x
  2. Step 2: Convert to fraction form
    327,456/507,168 = 507,168/x
  3. Step 3: Cross multiply
    327,456x = 507,168 × 507,168
  4. Step 4: Simplify right side
    327,456x = 257,219,380,224
  5. Step 5: Solve for x
    x = 257,219,380,224/327,456
  6. Step 6: Final answer
    x = 785,508.22

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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.