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Finding the Third Proportional to 238,866.75 and 522,033.75

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Solution

The third proportional to 238,866.75 and 522,033.75 is: 1,140,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,866.75 : 522,033.75 = 522,033.75 : x
  2. Step 2: Convert to fraction form
    238,866.75/522,033.75 = 522,033.75/x
  3. Step 3: Cross multiply
    238,866.75x = 522,033.75 × 522,033.75
  4. Step 4: Simplify right side
    238,866.75x = 272,519,236,139.06
  5. Step 5: Solve for x
    x = 272,519,236,139.06/238,866.75
  6. Step 6: Final answer
    x = 1,140,883.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.