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Finding the Third Proportional to 701,932.50 and 1,042,573.50

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Solution

The third proportional to 701,932.50 and 1,042,573.50 is: 1,548,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,932.50 : 1,042,573.50 = 1,042,573.50 : x
  2. Step 2: Convert to fraction form
    701,932.50/1,042,573.50 = 1,042,573.50/x
  3. Step 3: Cross multiply
    701,932.50x = 1,042,573.50 × 1,042,573.50
  4. Step 4: Simplify right side
    701,932.50x = 1,086,959,502,902.25
  5. Step 5: Solve for x
    x = 1,086,959,502,902.25/701,932.50
  6. Step 6: Final answer
    x = 1,548,524.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.