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Finding the Third Proportional to 335,629 and 508,318

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Solution

The third proportional to 335,629 and 508,318 is: 769,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,629 : 508,318 = 508,318 : x
  2. Step 2: Convert to fraction form
    335,629/508,318 = 508,318/x
  3. Step 3: Cross multiply
    335,629x = 508,318 × 508,318
  4. Step 4: Simplify right side
    335,629x = 258,387,189,124
  5. Step 5: Solve for x
    x = 258,387,189,124/335,629
  6. Step 6: Final answer
    x = 769,859.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.