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Finding the Third Proportional to 327,472 and 507,192

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Solution

The third proportional to 327,472 and 507,192 is: 785,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,472 : 507,192 = 507,192 : x
  2. Step 2: Convert to fraction form
    327,472/507,192 = 507,192/x
  3. Step 3: Cross multiply
    327,472x = 507,192 × 507,192
  4. Step 4: Simplify right side
    327,472x = 257,243,724,864
  5. Step 5: Solve for x
    x = 257,243,724,864/327,472
  6. Step 6: Final answer
    x = 785,544.18

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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.