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Finding the Third Proportional to 241,126.88 and 523,766.25

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Solution

The third proportional to 241,126.88 and 523,766.25 is: 1,137,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,126.88 : 523,766.25 = 523,766.25 : x
  2. Step 2: Convert to fraction form
    241,126.88/523,766.25 = 523,766.25/x
  3. Step 3: Cross multiply
    241,126.88x = 523,766.25 × 523,766.25
  4. Step 4: Simplify right side
    241,126.88x = 274,331,084,639.06
  5. Step 5: Solve for x
    x = 274,331,084,639.06/241,126.88
  6. Step 6: Final answer
    x = 1,137,704.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.