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Finding the Third Proportional to 340,107 and 508,383

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Solution

The third proportional to 340,107 and 508,383 is: 759,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,107 : 508,383 = 508,383 : x
  2. Step 2: Convert to fraction form
    340,107/508,383 = 508,383/x
  3. Step 3: Cross multiply
    340,107x = 508,383 × 508,383
  4. Step 4: Simplify right side
    340,107x = 258,453,274,689
  5. Step 5: Solve for x
    x = 258,453,274,689/340,107
  6. Step 6: Final answer
    x = 759,917.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.