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Finding the Third Proportional to 491,042.25 and 737,239.22

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Solution

The third proportional to 491,042.25 and 737,239.22 is: 1,106,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,042.25 : 737,239.22 = 737,239.22 : x
  2. Step 2: Convert to fraction form
    491,042.25/737,239.22 = 737,239.22/x
  3. Step 3: Cross multiply
    491,042.25x = 737,239.22 × 737,239.22
  4. Step 4: Simplify right side
    491,042.25x = 543,521,665,663.11
  5. Step 5: Solve for x
    x = 543,521,665,663.11/491,042.25
  6. Step 6: Final answer
    x = 1,106,873.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.