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Finding the Third Proportional to 739,481.75 and 1,169,926.50

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Solution

The third proportional to 739,481.75 and 1,169,926.50 is: 1,850,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,481.75 : 1,169,926.50 = 1,169,926.50 : x
  2. Step 2: Convert to fraction form
    739,481.75/1,169,926.50 = 1,169,926.50/x
  3. Step 3: Cross multiply
    739,481.75x = 1,169,926.50 × 1,169,926.50
  4. Step 4: Simplify right side
    739,481.75x = 1,368,728,015,402.25
  5. Step 5: Solve for x
    x = 1,368,728,015,402.25/739,481.75
  6. Step 6: Final answer
    x = 1,850,928.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.