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Finding the Third Proportional to 353,531.25 and 768,534.75

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Solution

The third proportional to 353,531.25 and 768,534.75 is: 1,670,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,531.25 : 768,534.75 = 768,534.75 : x
  2. Step 2: Convert to fraction form
    353,531.25/768,534.75 = 768,534.75/x
  3. Step 3: Cross multiply
    353,531.25x = 768,534.75 × 768,534.75
  4. Step 4: Simplify right side
    353,531.25x = 590,645,661,957.56
  5. Step 5: Solve for x
    x = 590,645,661,957.56/353,531.25
  6. Step 6: Final answer
    x = 1,670,702.84

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