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Finding the Third Proportional to 233,256 and 508,734

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Solution

The third proportional to 233,256 and 508,734 is: 1,109,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,256 : 508,734 = 508,734 : x
  2. Step 2: Convert to fraction form
    233,256/508,734 = 508,734/x
  3. Step 3: Cross multiply
    233,256x = 508,734 × 508,734
  4. Step 4: Simplify right side
    233,256x = 258,810,282,756
  5. Step 5: Solve for x
    x = 258,810,282,756/233,256
  6. Step 6: Final answer
    x = 1,109,554.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.