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Finding the Third Proportional to 241,279.50 and 522,274.50

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Solution

The third proportional to 241,279.50 and 522,274.50 is: 1,130,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,279.50 : 522,274.50 = 522,274.50 : x
  2. Step 2: Convert to fraction form
    241,279.50/522,274.50 = 522,274.50/x
  3. Step 3: Cross multiply
    241,279.50x = 522,274.50 × 522,274.50
  4. Step 4: Simplify right side
    241,279.50x = 272,770,653,350.25
  5. Step 5: Solve for x
    x = 272,770,653,350.25/241,279.50
  6. Step 6: Final answer
    x = 1,130,517.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.