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Finding the Third Proportional to 335,633 and 508,324

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Solution

The third proportional to 335,633 and 508,324 is: 769,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,633 : 508,324 = 508,324 : x
  2. Step 2: Convert to fraction form
    335,633/508,324 = 508,324/x
  3. Step 3: Cross multiply
    335,633x = 508,324 × 508,324
  4. Step 4: Simplify right side
    335,633x = 258,393,288,976
  5. Step 5: Solve for x
    x = 258,393,288,976/335,633
  6. Step 6: Final answer
    x = 769,868.54

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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.