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Finding the Third Proportional to 325,549.13 and 506,958.75

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Solution

The third proportional to 325,549.13 and 506,958.75 is: 789,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,549.13 : 506,958.75 = 506,958.75 : x
  2. Step 2: Convert to fraction form
    325,549.13/506,958.75 = 506,958.75/x
  3. Step 3: Cross multiply
    325,549.13x = 506,958.75 × 506,958.75
  4. Step 4: Simplify right side
    325,549.13x = 257,007,174,201.56
  5. Step 5: Solve for x
    x = 257,007,174,201.56/325,549.13
  6. Step 6: Final answer
    x = 789,457.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.