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Finding the Third Proportional to 233,626 and 508,265

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Solution

The third proportional to 233,626 and 508,265 is: 1,105,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,626 : 508,265 = 508,265 : x
  2. Step 2: Convert to fraction form
    233,626/508,265 = 508,265/x
  3. Step 3: Cross multiply
    233,626x = 508,265 × 508,265
  4. Step 4: Simplify right side
    233,626x = 258,333,310,225
  5. Step 5: Solve for x
    x = 258,333,310,225/233,626
  6. Step 6: Final answer
    x = 1,105,755.82

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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.