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Finding the Third Proportional to 335,634 and 508,326

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Solution

The third proportional to 335,634 and 508,326 is: 769,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,634 : 508,326 = 508,326 : x
  2. Step 2: Convert to fraction form
    335,634/508,326 = 508,326/x
  3. Step 3: Cross multiply
    335,634x = 508,326 × 508,326
  4. Step 4: Simplify right side
    335,634x = 258,395,322,276
  5. Step 5: Solve for x
    x = 258,395,322,276/335,634
  6. Step 6: Final answer
    x = 769,872.31

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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.