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Finding the Third Proportional to 238,696.50 and 519,999

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Solution

The third proportional to 238,696.50 and 519,999 is: 1,132,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,696.50 : 519,999 = 519,999 : x
  2. Step 2: Convert to fraction form
    238,696.50/519,999 = 519,999/x
  3. Step 3: Cross multiply
    238,696.50x = 519,999 × 519,999
  4. Step 4: Simplify right side
    238,696.50x = 270,398,960,001
  5. Step 5: Solve for x
    x = 270,398,960,001/238,696.50
  6. Step 6: Final answer
    x = 1,132,814.93

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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.